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Finding the Fourth Proportional to 7,687.68, 10,609.20 and 4,331.13

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Solution

The fourth proportional to 7,687.68, 10,609.20 and 4,331.13 is: 5,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.68 : 10,609.20 = 4,331.13 : x
  2. Step 2: Convert to fraction form
    7,687.68/10,609.20 = 4,331.13/x
  3. Step 3: Cross multiply
    7,687.68x = 10,609.20 × 4,331.13
  4. Step 4: Simplify right side
    7,687.68x = 45,949,824.40
  5. Step 5: Solve for x
    x = 45,949,824.40/7,687.68
  6. Step 6: Final answer
    x = 5,977.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.