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Finding the Fourth Proportional to 2,764.80, 4,168.80 and 2,419.20

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Solution

The fourth proportional to 2,764.80, 4,168.80 and 2,419.20 is: 3,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.80 : 4,168.80 = 2,419.20 : x
  2. Step 2: Convert to fraction form
    2,764.80/4,168.80 = 2,419.20/x
  3. Step 3: Cross multiply
    2,764.80x = 4,168.80 × 2,419.20
  4. Step 4: Simplify right side
    2,764.80x = 10,085,160.96
  5. Step 5: Solve for x
    x = 10,085,160.96/2,764.80
  6. Step 6: Final answer
    x = 3,647.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.