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Finding the Fourth Proportional to 21,709.97, 32,569.97 and 6,918.87

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Solution

The fourth proportional to 21,709.97, 32,569.97 and 6,918.87 is: 10,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.97 : 32,569.97 = 6,918.87 : x
  2. Step 2: Convert to fraction form
    21,709.97/32,569.97 = 6,918.87/x
  3. Step 3: Cross multiply
    21,709.97x = 32,569.97 × 6,918.87
  4. Step 4: Simplify right side
    21,709.97x = 225,347,353.74
  5. Step 5: Solve for x
    x = 225,347,353.74/21,709.97
  6. Step 6: Final answer
    x = 10,379.90

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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.