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Finding the Fourth Proportional to 8,261.88, 12,395.25 and 4,369.02

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Solution

The fourth proportional to 8,261.88, 12,395.25 and 4,369.02 is: 6,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.88 : 12,395.25 = 4,369.02 : x
  2. Step 2: Convert to fraction form
    8,261.88/12,395.25 = 4,369.02/x
  3. Step 3: Cross multiply
    8,261.88x = 12,395.25 × 4,369.02
  4. Step 4: Simplify right side
    8,261.88x = 54,155,095.16
  5. Step 5: Solve for x
    x = 54,155,095.16/8,261.88
  6. Step 6: Final answer
    x = 6,554.82

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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.