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Finding the Fourth Proportional to 21,934, 32,904.42 and 7,139.42

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Solution

The fourth proportional to 21,934, 32,904.42 and 7,139.42 is: 10,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934 : 32,904.42 = 7,139.42 : x
  2. Step 2: Convert to fraction form
    21,934/32,904.42 = 7,139.42/x
  3. Step 3: Cross multiply
    21,934x = 32,904.42 × 7,139.42
  4. Step 4: Simplify right side
    21,934x = 234,918,474.24
  5. Step 5: Solve for x
    x = 234,918,474.24/21,934
  6. Step 6: Final answer
    x = 10,710.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.