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Finding the Fourth Proportional to 9,891.32, 13,650 and 5,912.24

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Solution

The fourth proportional to 9,891.32, 13,650 and 5,912.24 is: 8,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.32 : 13,650 = 5,912.24 : x
  2. Step 2: Convert to fraction form
    9,891.32/13,650 = 5,912.24/x
  3. Step 3: Cross multiply
    9,891.32x = 13,650 × 5,912.24
  4. Step 4: Simplify right side
    9,891.32x = 80,702,076
  5. Step 5: Solve for x
    x = 80,702,076/9,891.32
  6. Step 6: Final answer
    x = 8,158.88

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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.