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Finding the Fourth Proportional to 6,658.72, 9,989.25 and 2,275.15

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Solution

The fourth proportional to 6,658.72, 9,989.25 and 2,275.15 is: 3,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.72 : 9,989.25 = 2,275.15 : x
  2. Step 2: Convert to fraction form
    6,658.72/9,989.25 = 2,275.15/x
  3. Step 3: Cross multiply
    6,658.72x = 9,989.25 × 2,275.15
  4. Step 4: Simplify right side
    6,658.72x = 22,726,992.19
  5. Step 5: Solve for x
    x = 22,726,992.19/6,658.72
  6. Step 6: Final answer
    x = 3,413.12

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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.