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Finding the Fourth Proportional to 21,929.76, 32,889.16 and 8,605.46

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Solution

The fourth proportional to 21,929.76, 32,889.16 and 8,605.46 is: 12,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929.76 : 32,889.16 = 8,605.46 : x
  2. Step 2: Convert to fraction form
    21,929.76/32,889.16 = 8,605.46/x
  3. Step 3: Cross multiply
    21,929.76x = 32,889.16 × 8,605.46
  4. Step 4: Simplify right side
    21,929.76x = 283,026,350.81
  5. Step 5: Solve for x
    x = 283,026,350.81/21,929.76
  6. Step 6: Final answer
    x = 12,906.04

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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.