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Finding the Fourth Proportional to 12,217, 18,326.70 and 5,642.20

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Solution

The fourth proportional to 12,217, 18,326.70 and 5,642.20 is: 8,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217 : 18,326.70 = 5,642.20 : x
  2. Step 2: Convert to fraction form
    12,217/18,326.70 = 5,642.20/x
  3. Step 3: Cross multiply
    12,217x = 18,326.70 × 5,642.20
  4. Step 4: Simplify right side
    12,217x = 103,402,906.74
  5. Step 5: Solve for x
    x = 103,402,906.74/12,217
  6. Step 6: Final answer
    x = 8,463.85

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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.