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Finding the Fourth Proportional to 30,787.29, 42,486.84 and 17,355.87

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Solution

The fourth proportional to 30,787.29, 42,486.84 and 17,355.87 is: 23,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.29 : 42,486.84 = 17,355.87 : x
  2. Step 2: Convert to fraction form
    30,787.29/42,486.84 = 17,355.87/x
  3. Step 3: Cross multiply
    30,787.29x = 42,486.84 × 17,355.87
  4. Step 4: Simplify right side
    30,787.29x = 737,396,071.75
  5. Step 5: Solve for x
    x = 737,396,071.75/30,787.29
  6. Step 6: Final answer
    x = 23,951.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.