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Finding the Fourth Proportional to 3,256.96, 4,494.50 and 1,840.70

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Solution

The fourth proportional to 3,256.96, 4,494.50 and 1,840.70 is: 2,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.96 : 4,494.50 = 1,840.70 : x
  2. Step 2: Convert to fraction form
    3,256.96/4,494.50 = 1,840.70/x
  3. Step 3: Cross multiply
    3,256.96x = 4,494.50 × 1,840.70
  4. Step 4: Simplify right side
    3,256.96x = 8,273,026.15
  5. Step 5: Solve for x
    x = 8,273,026.15/3,256.96
  6. Step 6: Final answer
    x = 2,540.11

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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.