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Finding the Fourth Proportional to 10,276.80, 15,411.84 and 5,008.80

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Solution

The fourth proportional to 10,276.80, 15,411.84 and 5,008.80 is: 7,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.80 : 15,411.84 = 5,008.80 : x
  2. Step 2: Convert to fraction form
    10,276.80/15,411.84 = 5,008.80/x
  3. Step 3: Cross multiply
    10,276.80x = 15,411.84 × 5,008.80
  4. Step 4: Simplify right side
    10,276.80x = 77,194,824.19
  5. Step 5: Solve for x
    x = 77,194,824.19/10,276.80
  6. Step 6: Final answer
    x = 7,511.56

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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.