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Finding the Fourth Proportional to 19,387.28, 29,083.86 and 8,294

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Solution

The fourth proportional to 19,387.28, 29,083.86 and 8,294 is: 12,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,387.28 : 29,083.86 = 8,294 : x
  2. Step 2: Convert to fraction form
    19,387.28/29,083.86 = 8,294/x
  3. Step 3: Cross multiply
    19,387.28x = 29,083.86 × 8,294
  4. Step 4: Simplify right side
    19,387.28x = 241,221,534.84
  5. Step 5: Solve for x
    x = 241,221,534.84/19,387.28
  6. Step 6: Final answer
    x = 12,442.26

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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.