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Finding the Fourth Proportional to 4,145.78, 5,721.12 and 2,282.78

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Solution

The fourth proportional to 4,145.78, 5,721.12 and 2,282.78 is: 3,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.78 : 5,721.12 = 2,282.78 : x
  2. Step 2: Convert to fraction form
    4,145.78/5,721.12 = 2,282.78/x
  3. Step 3: Cross multiply
    4,145.78x = 5,721.12 × 2,282.78
  4. Step 4: Simplify right side
    4,145.78x = 13,060,058.31
  5. Step 5: Solve for x
    x = 13,060,058.31/4,145.78
  6. Step 6: Final answer
    x = 3,150.21

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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.