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Finding the Fourth Proportional to 3,169.35, 4,754.48 and 977.49

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Solution

The fourth proportional to 3,169.35, 4,754.48 and 977.49 is: 1,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.35 : 4,754.48 = 977.49 : x
  2. Step 2: Convert to fraction form
    3,169.35/4,754.48 = 977.49/x
  3. Step 3: Cross multiply
    3,169.35x = 4,754.48 × 977.49
  4. Step 4: Simplify right side
    3,169.35x = 4,647,451.77
  5. Step 5: Solve for x
    x = 4,647,451.77/3,169.35
  6. Step 6: Final answer
    x = 1,466.37

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1.5x scale

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.