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Finding the Fourth Proportional to 8,329.40, 12,493.08 and 5,209.68

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Solution

The fourth proportional to 8,329.40, 12,493.08 and 5,209.68 is: 7,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.40 : 12,493.08 = 5,209.68 : x
  2. Step 2: Convert to fraction form
    8,329.40/12,493.08 = 5,209.68/x
  3. Step 3: Cross multiply
    8,329.40x = 12,493.08 × 5,209.68
  4. Step 4: Simplify right side
    8,329.40x = 65,084,949.01
  5. Step 5: Solve for x
    x = 65,084,949.01/8,329.40
  6. Step 6: Final answer
    x = 7,813.88

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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.