Home / 2,278.56-3,418.20-962.51

Finding the Fourth Proportional to 2,278.56, 3,418.20 and 962.51

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Solution

The fourth proportional to 2,278.56, 3,418.20 and 962.51 is: 1,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.56 : 3,418.20 = 962.51 : x
  2. Step 2: Convert to fraction form
    2,278.56/3,418.20 = 962.51/x
  3. Step 3: Cross multiply
    2,278.56x = 3,418.20 × 962.51
  4. Step 4: Simplify right side
    2,278.56x = 3,290,048.27
  5. Step 5: Solve for x
    x = 3,290,048.27/2,278.56
  6. Step 6: Final answer
    x = 1,443.92

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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.