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Finding the Fourth Proportional to 3,047.67, 4,571.53 and 856.35

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Solution

The fourth proportional to 3,047.67, 4,571.53 and 856.35 is: 1,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.67 : 4,571.53 = 856.35 : x
  2. Step 2: Convert to fraction form
    3,047.67/4,571.53 = 856.35/x
  3. Step 3: Cross multiply
    3,047.67x = 4,571.53 × 856.35
  4. Step 4: Simplify right side
    3,047.67x = 3,914,827.57
  5. Step 5: Solve for x
    x = 3,914,827.57/3,047.67
  6. Step 6: Final answer
    x = 1,284.53

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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.