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Finding the Fourth Proportional to 8,218.70, 12,309.82 and 7,125.20

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Solution

The fourth proportional to 8,218.70, 12,309.82 and 7,125.20 is: 10,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.70 : 12,309.82 = 7,125.20 : x
  2. Step 2: Convert to fraction form
    8,218.70/12,309.82 = 7,125.20/x
  3. Step 3: Cross multiply
    8,218.70x = 12,309.82 × 7,125.20
  4. Step 4: Simplify right side
    8,218.70x = 87,709,929.46
  5. Step 5: Solve for x
    x = 87,709,929.46/8,218.70
  6. Step 6: Final answer
    x = 10,672.00

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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.