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Finding the Fourth Proportional to 3,046.86, 4,570.29 and 855.66

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Solution

The fourth proportional to 3,046.86, 4,570.29 and 855.66 is: 1,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.86 : 4,570.29 = 855.66 : x
  2. Step 2: Convert to fraction form
    3,046.86/4,570.29 = 855.66/x
  3. Step 3: Cross multiply
    3,046.86x = 4,570.29 × 855.66
  4. Step 4: Simplify right side
    3,046.86x = 3,910,631.48
  5. Step 5: Solve for x
    x = 3,910,631.48/3,046.86
  6. Step 6: Final answer
    x = 1,283.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,047.86, 4,571.79 and 856.66
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.