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Finding the Fourth Proportional to 8,255.70, 12,400.02 and 4,975.20

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Solution

The fourth proportional to 8,255.70, 12,400.02 and 4,975.20 is: 7,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.70 : 12,400.02 = 4,975.20 : x
  2. Step 2: Convert to fraction form
    8,255.70/12,400.02 = 4,975.20/x
  3. Step 3: Cross multiply
    8,255.70x = 12,400.02 × 4,975.20
  4. Step 4: Simplify right side
    8,255.70x = 61,692,579.50
  5. Step 5: Solve for x
    x = 61,692,579.50/8,255.70
  6. Step 6: Final answer
    x = 7,472.73

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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.