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Finding the Fourth Proportional to 6,648.12, 9,169.74 and 5,715

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Solution

The fourth proportional to 6,648.12, 9,169.74 and 5,715 is: 7,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.12 : 9,169.74 = 5,715 : x
  2. Step 2: Convert to fraction form
    6,648.12/9,169.74 = 5,715/x
  3. Step 3: Cross multiply
    6,648.12x = 9,169.74 × 5,715
  4. Step 4: Simplify right side
    6,648.12x = 52,405,064.10
  5. Step 5: Solve for x
    x = 52,405,064.10/6,648.12
  6. Step 6: Final answer
    x = 7,882.69

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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.