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Finding the Fourth Proportional to 9,186, 12,679.92 and 5,460

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Solution

The fourth proportional to 9,186, 12,679.92 and 5,460 is: 7,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186 : 12,679.92 = 5,460 : x
  2. Step 2: Convert to fraction form
    9,186/12,679.92 = 5,460/x
  3. Step 3: Cross multiply
    9,186x = 12,679.92 × 5,460
  4. Step 4: Simplify right side
    9,186x = 69,232,363.20
  5. Step 5: Solve for x
    x = 69,232,363.20/9,186
  6. Step 6: Final answer
    x = 7,536.73

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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.