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Finding the Fourth Proportional to 9,143.68, 12,604.80 and 7,882.24

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Solution

The fourth proportional to 9,143.68, 12,604.80 and 7,882.24 is: 10,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.68 : 12,604.80 = 7,882.24 : x
  2. Step 2: Convert to fraction form
    9,143.68/12,604.80 = 7,882.24/x
  3. Step 3: Cross multiply
    9,143.68x = 12,604.80 × 7,882.24
  4. Step 4: Simplify right side
    9,143.68x = 99,354,058.75
  5. Step 5: Solve for x
    x = 99,354,058.75/9,143.68
  6. Step 6: Final answer
    x = 10,865.87

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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.