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Finding the Fourth Proportional to 10,447.98, 15,668.03 and 4,205.87

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Solution

The fourth proportional to 10,447.98, 15,668.03 and 4,205.87 is: 6,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.98 : 15,668.03 = 4,205.87 : x
  2. Step 2: Convert to fraction form
    10,447.98/15,668.03 = 4,205.87/x
  3. Step 3: Cross multiply
    10,447.98x = 15,668.03 × 4,205.87
  4. Step 4: Simplify right side
    10,447.98x = 65,897,597.97
  5. Step 5: Solve for x
    x = 65,897,597.97/10,447.98
  6. Step 6: Final answer
    x = 6,307.21

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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.