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Finding the Fourth Proportional to 3,169.54, 4,752.60 and 977.86

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Solution

The fourth proportional to 3,169.54, 4,752.60 and 977.86 is: 1,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.54 : 4,752.60 = 977.86 : x
  2. Step 2: Convert to fraction form
    3,169.54/4,752.60 = 977.86/x
  3. Step 3: Cross multiply
    3,169.54x = 4,752.60 × 977.86
  4. Step 4: Simplify right side
    3,169.54x = 4,647,377.44
  5. Step 5: Solve for x
    x = 4,647,377.44/3,169.54
  6. Step 6: Final answer
    x = 1,466.26

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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.