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Finding the Fourth Proportional to 19,891.53, 29,837.25 and 7,411.28

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Solution

The fourth proportional to 19,891.53, 29,837.25 and 7,411.28 is: 11,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.53 : 29,837.25 = 7,411.28 : x
  2. Step 2: Convert to fraction form
    19,891.53/29,837.25 = 7,411.28/x
  3. Step 3: Cross multiply
    19,891.53x = 29,837.25 × 7,411.28
  4. Step 4: Simplify right side
    19,891.53x = 221,132,064.99
  5. Step 5: Solve for x
    x = 221,132,064.99/19,891.53
  6. Step 6: Final answer
    x = 11,116.90

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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.