Home / 2,278.40-3,412.80-2,035.20

Finding the Fourth Proportional to 2,278.40, 3,412.80 and 2,035.20

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Solution

The fourth proportional to 2,278.40, 3,412.80 and 2,035.20 is: 3,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.40 : 3,412.80 = 2,035.20 : x
  2. Step 2: Convert to fraction form
    2,278.40/3,412.80 = 2,035.20/x
  3. Step 3: Cross multiply
    2,278.40x = 3,412.80 × 2,035.20
  4. Step 4: Simplify right side
    2,278.40x = 6,945,730.56
  5. Step 5: Solve for x
    x = 6,945,730.56/2,278.40
  6. Step 6: Final answer
    x = 3,048.51

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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.