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Finding the Fourth Proportional to 3,250.86, 4,877 and 1,518.54

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Solution

The fourth proportional to 3,250.86, 4,877 and 1,518.54 is: 2,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.86 : 4,877 = 1,518.54 : x
  2. Step 2: Convert to fraction form
    3,250.86/4,877 = 1,518.54/x
  3. Step 3: Cross multiply
    3,250.86x = 4,877 × 1,518.54
  4. Step 4: Simplify right side
    3,250.86x = 7,405,919.58
  5. Step 5: Solve for x
    x = 7,405,919.58/3,250.86
  6. Step 6: Final answer
    x = 2,278.14

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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.