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Finding the Fourth Proportional to 9,016, 12,468 and 8,603.44

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Solution

The fourth proportional to 9,016, 12,468 and 8,603.44 is: 11,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016 : 12,468 = 8,603.44 : x
  2. Step 2: Convert to fraction form
    9,016/12,468 = 8,603.44/x
  3. Step 3: Cross multiply
    9,016x = 12,468 × 8,603.44
  4. Step 4: Simplify right side
    9,016x = 107,267,689.92
  5. Step 5: Solve for x
    x = 107,267,689.92/9,016
  6. Step 6: Final answer
    x = 11,897.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.