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Finding the Fourth Proportional to 3,256.89, 4,494.87 and 1,859.64

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Solution

The fourth proportional to 3,256.89, 4,494.87 and 1,859.64 is: 2,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.89 : 4,494.87 = 1,859.64 : x
  2. Step 2: Convert to fraction form
    3,256.89/4,494.87 = 1,859.64/x
  3. Step 3: Cross multiply
    3,256.89x = 4,494.87 × 1,859.64
  4. Step 4: Simplify right side
    3,256.89x = 8,358,840.05
  5. Step 5: Solve for x
    x = 8,358,840.05/3,256.89
  6. Step 6: Final answer
    x = 2,566.51

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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.