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Finding the Fourth Proportional to 7,997.80, 11,981.40 and 4,298.80

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Solution

The fourth proportional to 7,997.80, 11,981.40 and 4,298.80 is: 6,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.80 : 11,981.40 = 4,298.80 : x
  2. Step 2: Convert to fraction form
    7,997.80/11,981.40 = 4,298.80/x
  3. Step 3: Cross multiply
    7,997.80x = 11,981.40 × 4,298.80
  4. Step 4: Simplify right side
    7,997.80x = 51,505,642.32
  5. Step 5: Solve for x
    x = 51,505,642.32/7,997.80
  6. Step 6: Final answer
    x = 6,439.98

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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.