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Finding the Fourth Proportional to 21,957.53, 32,922.93 and 8,614.54

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Solution

The fourth proportional to 21,957.53, 32,922.93 and 8,614.54 is: 12,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.53 : 32,922.93 = 8,614.54 : x
  2. Step 2: Convert to fraction form
    21,957.53/32,922.93 = 8,614.54/x
  3. Step 3: Cross multiply
    21,957.53x = 32,922.93 × 8,614.54
  4. Step 4: Simplify right side
    21,957.53x = 283,615,970.86
  5. Step 5: Solve for x
    x = 283,615,970.86/21,957.53
  6. Step 6: Final answer
    x = 12,916.57

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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.