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Finding the Fourth Proportional to 20,468.92, 30,710.64 and 11,711.20

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Solution

The fourth proportional to 20,468.92, 30,710.64 and 11,711.20 is: 17,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.92 : 30,710.64 = 11,711.20 : x
  2. Step 2: Convert to fraction form
    20,468.92/30,710.64 = 11,711.20/x
  3. Step 3: Cross multiply
    20,468.92x = 30,710.64 × 11,711.20
  4. Step 4: Simplify right side
    20,468.92x = 359,658,447.17
  5. Step 5: Solve for x
    x = 359,658,447.17/20,468.92
  6. Step 6: Final answer
    x = 17,570.95

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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.