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Finding the Fourth Proportional to 21,142, 31,711.78 and 6,350.59

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Solution

The fourth proportional to 21,142, 31,711.78 and 6,350.59 is: 9,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142 : 31,711.78 = 6,350.59 : x
  2. Step 2: Convert to fraction form
    21,142/31,711.78 = 6,350.59/x
  3. Step 3: Cross multiply
    21,142x = 31,711.78 × 6,350.59
  4. Step 4: Simplify right side
    21,142x = 201,388,512.95
  5. Step 5: Solve for x
    x = 201,388,512.95/21,142
  6. Step 6: Final answer
    x = 9,525.52

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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.