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Finding the Fourth Proportional to 30,729.31, 42,404.02 and 17,297.89

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Solution

The fourth proportional to 30,729.31, 42,404.02 and 17,297.89 is: 23,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.31 : 42,404.02 = 17,297.89 : x
  2. Step 2: Convert to fraction form
    30,729.31/42,404.02 = 17,297.89/x
  3. Step 3: Cross multiply
    30,729.31x = 42,404.02 × 17,297.89
  4. Step 4: Simplify right side
    30,729.31x = 733,500,073.52
  5. Step 5: Solve for x
    x = 733,500,073.52/30,729.31
  6. Step 6: Final answer
    x = 23,869.72

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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.