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Finding the Fourth Proportional to 20,978.90, 31,472.98 and 6,943.30

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Solution

The fourth proportional to 20,978.90, 31,472.98 and 6,943.30 is: 10,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.90 : 31,472.98 = 6,943.30 : x
  2. Step 2: Convert to fraction form
    20,978.90/31,472.98 = 6,943.30/x
  3. Step 3: Cross multiply
    20,978.90x = 31,472.98 × 6,943.30
  4. Step 4: Simplify right side
    20,978.90x = 218,526,342.03
  5. Step 5: Solve for x
    x = 218,526,342.03/20,978.90
  6. Step 6: Final answer
    x = 10,416.48

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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.