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Finding the Fourth Proportional to 9,914, 14,876.76 and 4,442

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Solution

The fourth proportional to 9,914, 14,876.76 and 4,442 is: 6,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914 : 14,876.76 = 4,442 : x
  2. Step 2: Convert to fraction form
    9,914/14,876.76 = 4,442/x
  3. Step 3: Cross multiply
    9,914x = 14,876.76 × 4,442
  4. Step 4: Simplify right side
    9,914x = 66,082,567.92
  5. Step 5: Solve for x
    x = 66,082,567.92/9,914
  6. Step 6: Final answer
    x = 6,665.58

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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.