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Finding the Fourth Proportional to 30,471.93, 42,046.70 and 17,894.25

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Solution

The fourth proportional to 30,471.93, 42,046.70 and 17,894.25 is: 24,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.93 : 42,046.70 = 17,894.25 : x
  2. Step 2: Convert to fraction form
    30,471.93/42,046.70 = 17,894.25/x
  3. Step 3: Cross multiply
    30,471.93x = 42,046.70 × 17,894.25
  4. Step 4: Simplify right side
    30,471.93x = 752,394,072.00
  5. Step 5: Solve for x
    x = 752,394,072.00/30,471.93
  6. Step 6: Final answer
    x = 24,691.38

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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.