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Finding the Fourth Proportional to 21,932.70, 32,901.78 and 7,143.18

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Solution

The fourth proportional to 21,932.70, 32,901.78 and 7,143.18 is: 10,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.70 : 32,901.78 = 7,143.18 : x
  2. Step 2: Convert to fraction form
    21,932.70/32,901.78 = 7,143.18/x
  3. Step 3: Cross multiply
    21,932.70x = 32,901.78 × 7,143.18
  4. Step 4: Simplify right side
    21,932.70x = 235,023,336.86
  5. Step 5: Solve for x
    x = 235,023,336.86/21,932.70
  6. Step 6: Final answer
    x = 10,715.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.