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Finding the Fourth Proportional to 8,223.88, 12,341.49 and 7,127.14

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Solution

The fourth proportional to 8,223.88, 12,341.49 and 7,127.14 is: 10,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.88 : 12,341.49 = 7,127.14 : x
  2. Step 2: Convert to fraction form
    8,223.88/12,341.49 = 7,127.14/x
  3. Step 3: Cross multiply
    8,223.88x = 12,341.49 × 7,127.14
  4. Step 4: Simplify right side
    8,223.88x = 87,959,429.70
  5. Step 5: Solve for x
    x = 87,959,429.70/8,223.88
  6. Step 6: Final answer
    x = 10,695.62

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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.