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Finding the Fourth Proportional to 19,891.97, 29,837.85 and 8,045.58

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Solution

The fourth proportional to 19,891.97, 29,837.85 and 8,045.58 is: 12,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.97 : 29,837.85 = 8,045.58 : x
  2. Step 2: Convert to fraction form
    19,891.97/29,837.85 = 8,045.58/x
  3. Step 3: Cross multiply
    19,891.97x = 29,837.85 × 8,045.58
  4. Step 4: Simplify right side
    19,891.97x = 240,062,809.20
  5. Step 5: Solve for x
    x = 240,062,809.20/19,891.97
  6. Step 6: Final answer
    x = 12,068.33

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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.