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Finding the Fourth Proportional to 8,197.70, 12,299.63 and 4,913.15

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Solution

The fourth proportional to 8,197.70, 12,299.63 and 4,913.15 is: 7,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.70 : 12,299.63 = 4,913.15 : x
  2. Step 2: Convert to fraction form
    8,197.70/12,299.63 = 4,913.15/x
  3. Step 3: Cross multiply
    8,197.70x = 12,299.63 × 4,913.15
  4. Step 4: Simplify right side
    8,197.70x = 60,429,841.07
  5. Step 5: Solve for x
    x = 60,429,841.07/8,197.70
  6. Step 6: Final answer
    x = 7,371.56

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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.