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Finding the Fourth Proportional to 12,456.52, 17,189.22 and 6,867.64

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Solution

The fourth proportional to 12,456.52, 17,189.22 and 6,867.64 is: 9,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.52 : 17,189.22 = 6,867.64 : x
  2. Step 2: Convert to fraction form
    12,456.52/17,189.22 = 6,867.64/x
  3. Step 3: Cross multiply
    12,456.52x = 17,189.22 × 6,867.64
  4. Step 4: Simplify right side
    12,456.52x = 118,049,374.84
  5. Step 5: Solve for x
    x = 118,049,374.84/12,456.52
  6. Step 6: Final answer
    x = 9,476.91

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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.