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Finding the Fourth Proportional to 21,125.92, 31,693.50 and 7,978.36

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Solution

The fourth proportional to 21,125.92, 31,693.50 and 7,978.36 is: 11,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,125.92 : 31,693.50 = 7,978.36 : x
  2. Step 2: Convert to fraction form
    21,125.92/31,693.50 = 7,978.36/x
  3. Step 3: Cross multiply
    21,125.92x = 31,693.50 × 7,978.36
  4. Step 4: Simplify right side
    21,125.92x = 252,862,152.66
  5. Step 5: Solve for x
    x = 252,862,152.66/21,125.92
  6. Step 6: Final answer
    x = 11,969.28

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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.