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Finding the Fourth Proportional to 7,997.60, 12,010.80 and 5,808.80

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Solution

The fourth proportional to 7,997.60, 12,010.80 and 5,808.80 is: 8,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.60 : 12,010.80 = 5,808.80 : x
  2. Step 2: Convert to fraction form
    7,997.60/12,010.80 = 5,808.80/x
  3. Step 3: Cross multiply
    7,997.60x = 12,010.80 × 5,808.80
  4. Step 4: Simplify right side
    7,997.60x = 69,768,335.04
  5. Step 5: Solve for x
    x = 69,768,335.04/7,997.60
  6. Step 6: Final answer
    x = 8,723.66

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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.