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Finding the Fourth Proportional to 9,154.60, 13,731.90 and 8,002.60

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Solution

The fourth proportional to 9,154.60, 13,731.90 and 8,002.60 is: 12,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.60 : 13,731.90 = 8,002.60 : x
  2. Step 2: Convert to fraction form
    9,154.60/13,731.90 = 8,002.60/x
  3. Step 3: Cross multiply
    9,154.60x = 13,731.90 × 8,002.60
  4. Step 4: Simplify right side
    9,154.60x = 109,890,902.94
  5. Step 5: Solve for x
    x = 109,890,902.94/9,154.60
  6. Step 6: Final answer
    x = 12,003.90

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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.