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Finding the Fourth Proportional to 12,221.56, 16,864.90 and 7,186

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Solution

The fourth proportional to 12,221.56, 16,864.90 and 7,186 is: 9,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.56 : 16,864.90 = 7,186 : x
  2. Step 2: Convert to fraction form
    12,221.56/16,864.90 = 7,186/x
  3. Step 3: Cross multiply
    12,221.56x = 16,864.90 × 7,186
  4. Step 4: Simplify right side
    12,221.56x = 121,191,171.40
  5. Step 5: Solve for x
    x = 121,191,171.40/12,221.56
  6. Step 6: Final answer
    x = 9,916.18

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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.