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Finding the Fourth Proportional to 9,186, 12,672.48 and 5,647.92

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Solution

The fourth proportional to 9,186, 12,672.48 and 5,647.92 is: 7,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186 : 12,672.48 = 5,647.92 : x
  2. Step 2: Convert to fraction form
    9,186/12,672.48 = 5,647.92/x
  3. Step 3: Cross multiply
    9,186x = 12,672.48 × 5,647.92
  4. Step 4: Simplify right side
    9,186x = 71,573,153.24
  5. Step 5: Solve for x
    x = 71,573,153.24/9,186
  6. Step 6: Final answer
    x = 7,791.55

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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.