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Finding the Fourth Proportional to 11,658.87, 17,478.72 and 4,635.87

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Solution

The fourth proportional to 11,658.87, 17,478.72 and 4,635.87 is: 6,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.87 : 17,478.72 = 4,635.87 : x
  2. Step 2: Convert to fraction form
    11,658.87/17,478.72 = 4,635.87/x
  3. Step 3: Cross multiply
    11,658.87x = 17,478.72 × 4,635.87
  4. Step 4: Simplify right side
    11,658.87x = 81,029,008.14
  5. Step 5: Solve for x
    x = 81,029,008.14/11,658.87
  6. Step 6: Final answer
    x = 6,949.99

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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.