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Finding the Fourth Proportional to 12,221.91, 16,865.28 and 7,186.32

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Solution

The fourth proportional to 12,221.91, 16,865.28 and 7,186.32 is: 9,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.91 : 16,865.28 = 7,186.32 : x
  2. Step 2: Convert to fraction form
    12,221.91/16,865.28 = 7,186.32/x
  3. Step 3: Cross multiply
    12,221.91x = 16,865.28 × 7,186.32
  4. Step 4: Simplify right side
    12,221.91x = 121,199,298.97
  5. Step 5: Solve for x
    x = 121,199,298.97/12,221.91
  6. Step 6: Final answer
    x = 9,916.56

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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.