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Finding the Fourth Proportional to 1,838.43, 2,531.43 and 1,441.71

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Solution

The fourth proportional to 1,838.43, 2,531.43 and 1,441.71 is: 1,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.43 : 2,531.43 = 1,441.71 : x
  2. Step 2: Convert to fraction form
    1,838.43/2,531.43 = 1,441.71/x
  3. Step 3: Cross multiply
    1,838.43x = 2,531.43 × 1,441.71
  4. Step 4: Simplify right side
    1,838.43x = 3,649,587.95
  5. Step 5: Solve for x
    x = 3,649,587.95/1,838.43
  6. Step 6: Final answer
    x = 1,985.17

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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.