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Finding the Fourth Proportional to 3,169.42, 4,750.36 and 1,478.54

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Solution

The fourth proportional to 3,169.42, 4,750.36 and 1,478.54 is: 2,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.42 : 4,750.36 = 1,478.54 : x
  2. Step 2: Convert to fraction form
    3,169.42/4,750.36 = 1,478.54/x
  3. Step 3: Cross multiply
    3,169.42x = 4,750.36 × 1,478.54
  4. Step 4: Simplify right side
    3,169.42x = 7,023,607.30
  5. Step 5: Solve for x
    x = 7,023,607.30/3,169.42
  6. Step 6: Final answer
    x = 2,216.06

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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.