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Finding the Fourth Proportional to 8,223.87, 12,324.87 and 7,123.08

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Solution

The fourth proportional to 8,223.87, 12,324.87 and 7,123.08 is: 10,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.87 : 12,324.87 = 7,123.08 : x
  2. Step 2: Convert to fraction form
    8,223.87/12,324.87 = 7,123.08/x
  3. Step 3: Cross multiply
    8,223.87x = 12,324.87 × 7,123.08
  4. Step 4: Simplify right side
    8,223.87x = 87,791,035.00
  5. Step 5: Solve for x
    x = 87,791,035.00/8,223.87
  6. Step 6: Final answer
    x = 10,675.15

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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.