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Finding the Fourth Proportional to 10,769.88, 14,861.10 and 6,290.38

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Solution

The fourth proportional to 10,769.88, 14,861.10 and 6,290.38 is: 8,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.88 : 14,861.10 = 6,290.38 : x
  2. Step 2: Convert to fraction form
    10,769.88/14,861.10 = 6,290.38/x
  3. Step 3: Cross multiply
    10,769.88x = 14,861.10 × 6,290.38
  4. Step 4: Simplify right side
    10,769.88x = 93,481,966.22
  5. Step 5: Solve for x
    x = 93,481,966.22/10,769.88
  6. Step 6: Final answer
    x = 8,679.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.