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Finding the Fourth Proportional to 2,793.80, 3,844.10 and 2,419.64

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Solution

The fourth proportional to 2,793.80, 3,844.10 and 2,419.64 is: 3,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.80 : 3,844.10 = 2,419.64 : x
  2. Step 2: Convert to fraction form
    2,793.80/3,844.10 = 2,419.64/x
  3. Step 3: Cross multiply
    2,793.80x = 3,844.10 × 2,419.64
  4. Step 4: Simplify right side
    2,793.80x = 9,301,338.12
  5. Step 5: Solve for x
    x = 9,301,338.12/2,793.80
  6. Step 6: Final answer
    x = 3,329.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.