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Finding the Fourth Proportional to 12,103.08, 16,702.92 and 7,386

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Solution

The fourth proportional to 12,103.08, 16,702.92 and 7,386 is: 10,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.08 : 16,702.92 = 7,386 : x
  2. Step 2: Convert to fraction form
    12,103.08/16,702.92 = 7,386/x
  3. Step 3: Cross multiply
    12,103.08x = 16,702.92 × 7,386
  4. Step 4: Simplify right side
    12,103.08x = 123,367,767.12
  5. Step 5: Solve for x
    x = 123,367,767.12/12,103.08
  6. Step 6: Final answer
    x = 10,193.09

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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.