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Finding the Fourth Proportional to 2,856.49, 3,942.03 and 1,597.59

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Solution

The fourth proportional to 2,856.49, 3,942.03 and 1,597.59 is: 2,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.49 : 3,942.03 = 1,597.59 : x
  2. Step 2: Convert to fraction form
    2,856.49/3,942.03 = 1,597.59/x
  3. Step 3: Cross multiply
    2,856.49x = 3,942.03 × 1,597.59
  4. Step 4: Simplify right side
    2,856.49x = 6,297,753.70
  5. Step 5: Solve for x
    x = 6,297,753.70/2,856.49
  6. Step 6: Final answer
    x = 2,204.72

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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.