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Finding the Fourth Proportional to 6,605.48, 9,115.67 and 3,953

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Solution

The fourth proportional to 6,605.48, 9,115.67 and 3,953 is: 5,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.48 : 9,115.67 = 3,953 : x
  2. Step 2: Convert to fraction form
    6,605.48/9,115.67 = 3,953/x
  3. Step 3: Cross multiply
    6,605.48x = 9,115.67 × 3,953
  4. Step 4: Simplify right side
    6,605.48x = 36,034,243.51
  5. Step 5: Solve for x
    x = 36,034,243.51/6,605.48
  6. Step 6: Final answer
    x = 5,455.20

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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.