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Finding the Fourth Proportional to 8,197.88, 12,287.51 and 7,208.78

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Solution

The fourth proportional to 8,197.88, 12,287.51 and 7,208.78 is: 10,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.88 : 12,287.51 = 7,208.78 : x
  2. Step 2: Convert to fraction form
    8,197.88/12,287.51 = 7,208.78/x
  3. Step 3: Cross multiply
    8,197.88x = 12,287.51 × 7,208.78
  4. Step 4: Simplify right side
    8,197.88x = 88,577,920.29
  5. Step 5: Solve for x
    x = 88,577,920.29/8,197.88
  6. Step 6: Final answer
    x = 10,804.98

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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.