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Finding the Fourth Proportional to 9,105.88, 13,658.67 and 2,949.88

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Solution

The fourth proportional to 9,105.88, 13,658.67 and 2,949.88 is: 4,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.88 : 13,658.67 = 2,949.88 : x
  2. Step 2: Convert to fraction form
    9,105.88/13,658.67 = 2,949.88/x
  3. Step 3: Cross multiply
    9,105.88x = 13,658.67 × 2,949.88
  4. Step 4: Simplify right side
    9,105.88x = 40,291,437.46
  5. Step 5: Solve for x
    x = 40,291,437.46/9,105.88
  6. Step 6: Final answer
    x = 4,424.77

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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.