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Finding the Fourth Proportional to 10,490.76, 15,738.90 and 5,227.32

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Solution

The fourth proportional to 10,490.76, 15,738.90 and 5,227.32 is: 7,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.76 : 15,738.90 = 5,227.32 : x
  2. Step 2: Convert to fraction form
    10,490.76/15,738.90 = 5,227.32/x
  3. Step 3: Cross multiply
    10,490.76x = 15,738.90 × 5,227.32
  4. Step 4: Simplify right side
    10,490.76x = 82,272,266.75
  5. Step 5: Solve for x
    x = 82,272,266.75/10,490.76
  6. Step 6: Final answer
    x = 7,842.36

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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.