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Finding the Fourth Proportional to 8,507.43, 12,750.21 and 8,288.73

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Solution

The fourth proportional to 8,507.43, 12,750.21 and 8,288.73 is: 12,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.43 : 12,750.21 = 8,288.73 : x
  2. Step 2: Convert to fraction form
    8,507.43/12,750.21 = 8,288.73/x
  3. Step 3: Cross multiply
    8,507.43x = 12,750.21 × 8,288.73
  4. Step 4: Simplify right side
    8,507.43x = 105,683,048.13
  5. Step 5: Solve for x
    x = 105,683,048.13/8,507.43
  6. Step 6: Final answer
    x = 12,422.44

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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.