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Finding the Fourth Proportional to 7,129.89, 10,668.11 and 5,897.88

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Solution

The fourth proportional to 7,129.89, 10,668.11 and 5,897.88 is: 8,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.89 : 10,668.11 = 5,897.88 : x
  2. Step 2: Convert to fraction form
    7,129.89/10,668.11 = 5,897.88/x
  3. Step 3: Cross multiply
    7,129.89x = 10,668.11 × 5,897.88
  4. Step 4: Simplify right side
    7,129.89x = 62,919,203.12
  5. Step 5: Solve for x
    x = 62,919,203.12/7,129.89
  6. Step 6: Final answer
    x = 8,824.71

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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.