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Finding the Fourth Proportional to 15,084.92, 22,604.28 and 7,678.28

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Solution

The fourth proportional to 15,084.92, 22,604.28 and 7,678.28 is: 11,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084.92 : 22,604.28 = 7,678.28 : x
  2. Step 2: Convert to fraction form
    15,084.92/22,604.28 = 7,678.28/x
  3. Step 3: Cross multiply
    15,084.92x = 22,604.28 × 7,678.28
  4. Step 4: Simplify right side
    15,084.92x = 173,561,991.04
  5. Step 5: Solve for x
    x = 173,561,991.04/15,084.92
  6. Step 6: Final answer
    x = 11,505.66

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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.