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Finding the Fourth Proportional to 5,155.85, 7,734.32 and 1,645.02

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Solution

The fourth proportional to 5,155.85, 7,734.32 and 1,645.02 is: 2,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.85 : 7,734.32 = 1,645.02 : x
  2. Step 2: Convert to fraction form
    5,155.85/7,734.32 = 1,645.02/x
  3. Step 3: Cross multiply
    5,155.85x = 7,734.32 × 1,645.02
  4. Step 4: Simplify right side
    5,155.85x = 12,723,102.86
  5. Step 5: Solve for x
    x = 12,723,102.86/5,155.85
  6. Step 6: Final answer
    x = 2,467.70

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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.