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Finding the Fourth Proportional to 30,781.92, 42,475.80 and 17,352.84

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Solution

The fourth proportional to 30,781.92, 42,475.80 and 17,352.84 is: 23,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.92 : 42,475.80 = 17,352.84 : x
  2. Step 2: Convert to fraction form
    30,781.92/42,475.80 = 17,352.84/x
  3. Step 3: Cross multiply
    30,781.92x = 42,475.80 × 17,352.84
  4. Step 4: Simplify right side
    30,781.92x = 737,075,761.27
  5. Step 5: Solve for x
    x = 737,075,761.27/30,781.92
  6. Step 6: Final answer
    x = 23,945.09

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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.