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Finding the Fourth Proportional to 30,949.92, 42,709.68 and 17,521.92

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Solution

The fourth proportional to 30,949.92, 42,709.68 and 17,521.92 is: 24,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.92 : 42,709.68 = 17,521.92 : x
  2. Step 2: Convert to fraction form
    30,949.92/42,709.68 = 17,521.92/x
  3. Step 3: Cross multiply
    30,949.92x = 42,709.68 × 17,521.92
  4. Step 4: Simplify right side
    30,949.92x = 748,355,596.19
  5. Step 5: Solve for x
    x = 748,355,596.19/30,949.92
  6. Step 6: Final answer
    x = 24,179.56

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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.