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Finding the Fourth Proportional to 6,442.62, 9,661.16 and 3,670.58

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Solution

The fourth proportional to 6,442.62, 9,661.16 and 3,670.58 is: 5,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.62 : 9,661.16 = 3,670.58 : x
  2. Step 2: Convert to fraction form
    6,442.62/9,661.16 = 3,670.58/x
  3. Step 3: Cross multiply
    6,442.62x = 9,661.16 × 3,670.58
  4. Step 4: Simplify right side
    6,442.62x = 35,462,060.67
  5. Step 5: Solve for x
    x = 35,462,060.67/6,442.62
  6. Step 6: Final answer
    x = 5,504.29

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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.