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Finding the Fourth Proportional to 3,445.54, 5,168.00 and 1,689.86

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Solution

The fourth proportional to 3,445.54, 5,168.00 and 1,689.86 is: 2,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.54 : 5,168.00 = 1,689.86 : x
  2. Step 2: Convert to fraction form
    3,445.54/5,168.00 = 1,689.86/x
  3. Step 3: Cross multiply
    3,445.54x = 5,168.00 × 1,689.86
  4. Step 4: Simplify right side
    3,445.54x = 8,733,213.62
  5. Step 5: Solve for x
    x = 8,733,213.62/3,445.54
  6. Step 6: Final answer
    x = 2,534.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.