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Finding the Fourth Proportional to 12,747, 17,590.86 and 7,158

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Solution

The fourth proportional to 12,747, 17,590.86 and 7,158 is: 9,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747 : 17,590.86 = 7,158 : x
  2. Step 2: Convert to fraction form
    12,747/17,590.86 = 7,158/x
  3. Step 3: Cross multiply
    12,747x = 17,590.86 × 7,158
  4. Step 4: Simplify right side
    12,747x = 125,915,375.88
  5. Step 5: Solve for x
    x = 125,915,375.88/12,747
  6. Step 6: Final answer
    x = 9,878.04

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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.