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Finding the Fourth Proportional to 21,802.78, 32,709 and 7,951.78

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Solution

The fourth proportional to 21,802.78, 32,709 and 7,951.78 is: 11,929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.78 : 32,709 = 7,951.78 : x
  2. Step 2: Convert to fraction form
    21,802.78/32,709 = 7,951.78/x
  3. Step 3: Cross multiply
    21,802.78x = 32,709 × 7,951.78
  4. Step 4: Simplify right side
    21,802.78x = 260,094,772.02
  5. Step 5: Solve for x
    x = 260,094,772.02/21,802.78
  6. Step 6: Final answer
    x = 11,929.43

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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.