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Finding the Fourth Proportional to 21,917.34, 32,871.96 and 7,121.88

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Solution

The fourth proportional to 21,917.34, 32,871.96 and 7,121.88 is: 10,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,917.34 : 32,871.96 = 7,121.88 : x
  2. Step 2: Convert to fraction form
    21,917.34/32,871.96 = 7,121.88/x
  3. Step 3: Cross multiply
    21,917.34x = 32,871.96 × 7,121.88
  4. Step 4: Simplify right side
    21,917.34x = 234,110,154.48
  5. Step 5: Solve for x
    x = 234,110,154.48/21,917.34
  6. Step 6: Final answer
    x = 10,681.50

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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.