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Finding the Fourth Proportional to 30,645.73, 42,299.85 and 17,902

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Solution

The fourth proportional to 30,645.73, 42,299.85 and 17,902 is: 24,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.73 : 42,299.85 = 17,902 : x
  2. Step 2: Convert to fraction form
    30,645.73/42,299.85 = 17,902/x
  3. Step 3: Cross multiply
    30,645.73x = 42,299.85 × 17,902
  4. Step 4: Simplify right side
    30,645.73x = 757,251,914.70
  5. Step 5: Solve for x
    x = 757,251,914.70/30,645.73
  6. Step 6: Final answer
    x = 24,709.87

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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.