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Finding the Fourth Proportional to 8,449.25, 12,681.77 and 4,292.22

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Solution

The fourth proportional to 8,449.25, 12,681.77 and 4,292.22 is: 6,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.25 : 12,681.77 = 4,292.22 : x
  2. Step 2: Convert to fraction form
    8,449.25/12,681.77 = 4,292.22/x
  3. Step 3: Cross multiply
    8,449.25x = 12,681.77 × 4,292.22
  4. Step 4: Simplify right side
    8,449.25x = 54,432,972.92
  5. Step 5: Solve for x
    x = 54,432,972.92/8,449.25
  6. Step 6: Final answer
    x = 6,442.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.