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Finding the Fourth Proportional to 12,787.60, 17,653.25 and 9,909.87

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Solution

The fourth proportional to 12,787.60, 17,653.25 and 9,909.87 is: 13,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.60 : 17,653.25 = 9,909.87 : x
  2. Step 2: Convert to fraction form
    12,787.60/17,653.25 = 9,909.87/x
  3. Step 3: Cross multiply
    12,787.60x = 17,653.25 × 9,909.87
  4. Step 4: Simplify right side
    12,787.60x = 174,941,412.58
  5. Step 5: Solve for x
    x = 174,941,412.58/12,787.60
  6. Step 6: Final answer
    x = 13,680.55

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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.