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Finding the Fourth Proportional to 21,115.98, 31,668.98 and 7,076.52

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Solution

The fourth proportional to 21,115.98, 31,668.98 and 7,076.52 is: 10,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115.98 : 31,668.98 = 7,076.52 : x
  2. Step 2: Convert to fraction form
    21,115.98/31,668.98 = 7,076.52/x
  3. Step 3: Cross multiply
    21,115.98x = 31,668.98 × 7,076.52
  4. Step 4: Simplify right side
    21,115.98x = 224,106,134.97
  5. Step 5: Solve for x
    x = 224,106,134.97/21,115.98
  6. Step 6: Final answer
    x = 10,613.11

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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.