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Finding the Fourth Proportional to 9,132, 12,597.12 and 6,142.56

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Solution

The fourth proportional to 9,132, 12,597.12 and 6,142.56 is: 8,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132 : 12,597.12 = 6,142.56 : x
  2. Step 2: Convert to fraction form
    9,132/12,597.12 = 6,142.56/x
  3. Step 3: Cross multiply
    9,132x = 12,597.12 × 6,142.56
  4. Step 4: Simplify right side
    9,132x = 77,378,565.43
  5. Step 5: Solve for x
    x = 77,378,565.43/9,132
  6. Step 6: Final answer
    x = 8,473.34

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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.