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Finding the Fourth Proportional to 5,678.74, 8,505.60 and 3,480.76

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Solution

The fourth proportional to 5,678.74, 8,505.60 and 3,480.76 is: 5,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.74 : 8,505.60 = 3,480.76 : x
  2. Step 2: Convert to fraction form
    5,678.74/8,505.60 = 3,480.76/x
  3. Step 3: Cross multiply
    5,678.74x = 8,505.60 × 3,480.76
  4. Step 4: Simplify right side
    5,678.74x = 29,605,952.26
  5. Step 5: Solve for x
    x = 29,605,952.26/5,678.74
  6. Step 6: Final answer
    x = 5,213.47

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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.