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Finding the Fourth Proportional to 21,840.76, 32,761.12 and 5,424.76

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Solution

The fourth proportional to 21,840.76, 32,761.12 and 5,424.76 is: 8,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840.76 : 32,761.12 = 5,424.76 : x
  2. Step 2: Convert to fraction form
    21,840.76/32,761.12 = 5,424.76/x
  3. Step 3: Cross multiply
    21,840.76x = 32,761.12 × 5,424.76
  4. Step 4: Simplify right side
    21,840.76x = 177,721,213.33
  5. Step 5: Solve for x
    x = 177,721,213.33/21,840.76
  6. Step 6: Final answer
    x = 8,137.14

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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.