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Finding the Fourth Proportional to 3,767.78, 5,200.13 and 2,275.91

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Solution

The fourth proportional to 3,767.78, 5,200.13 and 2,275.91 is: 3,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.78 : 5,200.13 = 2,275.91 : x
  2. Step 2: Convert to fraction form
    3,767.78/5,200.13 = 2,275.91/x
  3. Step 3: Cross multiply
    3,767.78x = 5,200.13 × 2,275.91
  4. Step 4: Simplify right side
    3,767.78x = 11,835,009.18
  5. Step 5: Solve for x
    x = 11,835,009.18/3,767.78
  6. Step 6: Final answer
    x = 3,141.11

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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.