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Finding the Fourth Proportional to 15,783.69, 23,677.72 and 5,787.15

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Solution

The fourth proportional to 15,783.69, 23,677.72 and 5,787.15 is: 8,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.69 : 23,677.72 = 5,787.15 : x
  2. Step 2: Convert to fraction form
    15,783.69/23,677.72 = 5,787.15/x
  3. Step 3: Cross multiply
    15,783.69x = 23,677.72 × 5,787.15
  4. Step 4: Simplify right side
    15,783.69x = 137,026,414.04
  5. Step 5: Solve for x
    x = 137,026,414.04/15,783.69
  6. Step 6: Final answer
    x = 8,681.52

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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.