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Finding the Fourth Proportional to 3,726.90, 5,141.44 and 2,981.90

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Solution

The fourth proportional to 3,726.90, 5,141.44 and 2,981.90 is: 4,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.90 : 5,141.44 = 2,981.90 : x
  2. Step 2: Convert to fraction form
    3,726.90/5,141.44 = 2,981.90/x
  3. Step 3: Cross multiply
    3,726.90x = 5,141.44 × 2,981.90
  4. Step 4: Simplify right side
    3,726.90x = 15,331,259.94
  5. Step 5: Solve for x
    x = 15,331,259.94/3,726.90
  6. Step 6: Final answer
    x = 4,113.68

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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.