Home / 2,278.16-3,143.92-1,283.47

Finding the Fourth Proportional to 2,278.16, 3,143.92 and 1,283.47

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Solution

The fourth proportional to 2,278.16, 3,143.92 and 1,283.47 is: 1,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.16 : 3,143.92 = 1,283.47 : x
  2. Step 2: Convert to fraction form
    2,278.16/3,143.92 = 1,283.47/x
  3. Step 3: Cross multiply
    2,278.16x = 3,143.92 × 1,283.47
  4. Step 4: Simplify right side
    2,278.16x = 4,035,115.93
  5. Step 5: Solve for x
    x = 4,035,115.93/2,278.16
  6. Step 6: Final answer
    x = 1,771.22

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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.