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Finding the Fourth Proportional to 30,751.92, 42,438.12 and 18,177.84

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Solution

The fourth proportional to 30,751.92, 42,438.12 and 18,177.84 is: 25,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.92 : 42,438.12 = 18,177.84 : x
  2. Step 2: Convert to fraction form
    30,751.92/42,438.12 = 18,177.84/x
  3. Step 3: Cross multiply
    30,751.92x = 42,438.12 × 18,177.84
  4. Step 4: Simplify right side
    30,751.92x = 771,433,355.26
  5. Step 5: Solve for x
    x = 771,433,355.26/30,751.92
  6. Step 6: Final answer
    x = 25,085.70

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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.