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Finding the Fourth Proportional to 9,143.76, 12,612 and 5,600.76

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Solution

The fourth proportional to 9,143.76, 12,612 and 5,600.76 is: 7,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.76 : 12,612 = 5,600.76 : x
  2. Step 2: Convert to fraction form
    9,143.76/12,612 = 5,600.76/x
  3. Step 3: Cross multiply
    9,143.76x = 12,612 × 5,600.76
  4. Step 4: Simplify right side
    9,143.76x = 70,636,785.12
  5. Step 5: Solve for x
    x = 70,636,785.12/9,143.76
  6. Step 6: Final answer
    x = 7,725.14

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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.