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Finding the Fourth Proportional to 10,787.60, 16,171.80 and 6,400.40

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Solution

The fourth proportional to 10,787.60, 16,171.80 and 6,400.40 is: 9,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787.60 : 16,171.80 = 6,400.40 : x
  2. Step 2: Convert to fraction form
    10,787.60/16,171.80 = 6,400.40/x
  3. Step 3: Cross multiply
    10,787.60x = 16,171.80 × 6,400.40
  4. Step 4: Simplify right side
    10,787.60x = 103,505,988.72
  5. Step 5: Solve for x
    x = 103,505,988.72/10,787.60
  6. Step 6: Final answer
    x = 9,594.90

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1.5x scale

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.