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Finding the Fourth Proportional to 9,147.32, 12,624 and 5,168.88

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Solution

The fourth proportional to 9,147.32, 12,624 and 5,168.88 is: 7,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.32 : 12,624 = 5,168.88 : x
  2. Step 2: Convert to fraction form
    9,147.32/12,624 = 5,168.88/x
  3. Step 3: Cross multiply
    9,147.32x = 12,624 × 5,168.88
  4. Step 4: Simplify right side
    9,147.32x = 65,251,941.12
  5. Step 5: Solve for x
    x = 65,251,941.12/9,147.32
  6. Step 6: Final answer
    x = 7,133.45

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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.