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Finding the Fourth Proportional to 19,957.20, 29,891.52 and 12,914.56

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Solution

The fourth proportional to 19,957.20, 29,891.52 and 12,914.56 is: 19,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.20 : 29,891.52 = 12,914.56 : x
  2. Step 2: Convert to fraction form
    19,957.20/29,891.52 = 12,914.56/x
  3. Step 3: Cross multiply
    19,957.20x = 29,891.52 × 12,914.56
  4. Step 4: Simplify right side
    19,957.20x = 386,035,828.53
  5. Step 5: Solve for x
    x = 386,035,828.53/19,957.20
  6. Step 6: Final answer
    x = 19,343.19

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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.