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Finding the Fourth Proportional to 8,074.40, 12,097.20 and 4,992.80

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Solution

The fourth proportional to 8,074.40, 12,097.20 and 4,992.80 is: 7,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.40 : 12,097.20 = 4,992.80 : x
  2. Step 2: Convert to fraction form
    8,074.40/12,097.20 = 4,992.80/x
  3. Step 3: Cross multiply
    8,074.40x = 12,097.20 × 4,992.80
  4. Step 4: Simplify right side
    8,074.40x = 60,398,900.16
  5. Step 5: Solve for x
    x = 60,398,900.16/8,074.40
  6. Step 6: Final answer
    x = 7,480.30

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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.