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Finding the Fourth Proportional to 2,856.41, 3,941.89 and 1,737.39

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Solution

The fourth proportional to 2,856.41, 3,941.89 and 1,737.39 is: 2,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.41 : 3,941.89 = 1,737.39 : x
  2. Step 2: Convert to fraction form
    2,856.41/3,941.89 = 1,737.39/x
  3. Step 3: Cross multiply
    2,856.41x = 3,941.89 × 1,737.39
  4. Step 4: Simplify right side
    2,856.41x = 6,848,604.61
  5. Step 5: Solve for x
    x = 6,848,604.61/2,856.41
  6. Step 6: Final answer
    x = 2,397.63

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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.