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Finding the Fourth Proportional to 6,442.87, 9,661.31 and 3,775.26

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Solution

The fourth proportional to 6,442.87, 9,661.31 and 3,775.26 is: 5,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.87 : 9,661.31 = 3,775.26 : x
  2. Step 2: Convert to fraction form
    6,442.87/9,661.31 = 3,775.26/x
  3. Step 3: Cross multiply
    6,442.87x = 9,661.31 × 3,775.26
  4. Step 4: Simplify right side
    6,442.87x = 36,473,957.19
  5. Step 5: Solve for x
    x = 36,473,957.19/6,442.87
  6. Step 6: Final answer
    x = 5,661.14

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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.