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Finding the Fourth Proportional to 8,227.40, 12,342.70 and 3,547.40

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Solution

The fourth proportional to 8,227.40, 12,342.70 and 3,547.40 is: 5,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.40 : 12,342.70 = 3,547.40 : x
  2. Step 2: Convert to fraction form
    8,227.40/12,342.70 = 3,547.40/x
  3. Step 3: Cross multiply
    8,227.40x = 12,342.70 × 3,547.40
  4. Step 4: Simplify right side
    8,227.40x = 43,784,493.98
  5. Step 5: Solve for x
    x = 43,784,493.98/8,227.40
  6. Step 6: Final answer
    x = 5,321.79

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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.