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Finding the Fourth Proportional to 9,874.32, 13,620.64 and 6,517.20

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Solution

The fourth proportional to 9,874.32, 13,620.64 and 6,517.20 is: 8,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.32 : 13,620.64 = 6,517.20 : x
  2. Step 2: Convert to fraction form
    9,874.32/13,620.64 = 6,517.20/x
  3. Step 3: Cross multiply
    9,874.32x = 13,620.64 × 6,517.20
  4. Step 4: Simplify right side
    9,874.32x = 88,768,435.01
  5. Step 5: Solve for x
    x = 88,768,435.01/9,874.32
  6. Step 6: Final answer
    x = 8,989.83

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1.5x scale

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.