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Finding the Fourth Proportional to 12,454.14, 17,186.51 and 6,789.11

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Solution

The fourth proportional to 12,454.14, 17,186.51 and 6,789.11 is: 9,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.14 : 17,186.51 = 6,789.11 : x
  2. Step 2: Convert to fraction form
    12,454.14/17,186.51 = 6,789.11/x
  3. Step 3: Cross multiply
    12,454.14x = 17,186.51 × 6,789.11
  4. Step 4: Simplify right side
    12,454.14x = 116,681,166.85
  5. Step 5: Solve for x
    x = 116,681,166.85/12,454.14
  6. Step 6: Final answer
    x = 9,368.87

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1.5x scale

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.