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Finding the Fourth Proportional to 7,994.40, 11,977.20 and 4,912.80

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Solution

The fourth proportional to 7,994.40, 11,977.20 and 4,912.80 is: 7,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.40 : 11,977.20 = 4,912.80 : x
  2. Step 2: Convert to fraction form
    7,994.40/11,977.20 = 4,912.80/x
  3. Step 3: Cross multiply
    7,994.40x = 11,977.20 × 4,912.80
  4. Step 4: Simplify right side
    7,994.40x = 58,841,588.16
  5. Step 5: Solve for x
    x = 58,841,588.16/7,994.40
  6. Step 6: Final answer
    x = 7,360.35

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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.