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Finding the Fourth Proportional to 19,753.60, 29,627.84 and 7,440

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Solution

The fourth proportional to 19,753.60, 29,627.84 and 7,440 is: 11,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.60 : 29,627.84 = 7,440 : x
  2. Step 2: Convert to fraction form
    19,753.60/29,627.84 = 7,440/x
  3. Step 3: Cross multiply
    19,753.60x = 29,627.84 × 7,440
  4. Step 4: Simplify right side
    19,753.60x = 220,431,129.60
  5. Step 5: Solve for x
    x = 220,431,129.60/19,753.60
  6. Step 6: Final answer
    x = 11,159.04

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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.