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Finding the Fourth Proportional to 3,169.38, 4,753.77 and 977.52

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Solution

The fourth proportional to 3,169.38, 4,753.77 and 977.52 is: 1,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.38 : 4,753.77 = 977.52 : x
  2. Step 2: Convert to fraction form
    3,169.38/4,753.77 = 977.52/x
  3. Step 3: Cross multiply
    3,169.38x = 4,753.77 × 977.52
  4. Step 4: Simplify right side
    3,169.38x = 4,646,905.25
  5. Step 5: Solve for x
    x = 4,646,905.25/3,169.38
  6. Step 6: Final answer
    x = 1,466.19

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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.