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Finding the Fourth Proportional to 12,146.76, 18,207.16 and 8,673.48

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Solution

The fourth proportional to 12,146.76, 18,207.16 and 8,673.48 is: 13,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.76 : 18,207.16 = 8,673.48 : x
  2. Step 2: Convert to fraction form
    12,146.76/18,207.16 = 8,673.48/x
  3. Step 3: Cross multiply
    12,146.76x = 18,207.16 × 8,673.48
  4. Step 4: Simplify right side
    12,146.76x = 157,919,438.12
  5. Step 5: Solve for x
    x = 157,919,438.12/12,146.76
  6. Step 6: Final answer
    x = 13,000.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.