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Finding the Fourth Proportional to 30,731.70, 42,404.40 and 17,301.90

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Solution

The fourth proportional to 30,731.70, 42,404.40 and 17,301.90 is: 23,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.70 : 42,404.40 = 17,301.90 : x
  2. Step 2: Convert to fraction form
    30,731.70/42,404.40 = 17,301.90/x
  3. Step 3: Cross multiply
    30,731.70x = 42,404.40 × 17,301.90
  4. Step 4: Simplify right side
    30,731.70x = 733,676,688.36
  5. Step 5: Solve for x
    x = 733,676,688.36/30,731.70
  6. Step 6: Final answer
    x = 23,873.61

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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.