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Finding the Fourth Proportional to 8,250.10, 11,385 and 4,665

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Solution

The fourth proportional to 8,250.10, 11,385 and 4,665 is: 6,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.10 : 11,385 = 4,665 : x
  2. Step 2: Convert to fraction form
    8,250.10/11,385 = 4,665/x
  3. Step 3: Cross multiply
    8,250.10x = 11,385 × 4,665
  4. Step 4: Simplify right side
    8,250.10x = 53,111,025
  5. Step 5: Solve for x
    x = 53,111,025/8,250.10
  6. Step 6: Final answer
    x = 6,437.62

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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.