Home / 2,149.20-3,223.51-977.94

Finding the Fourth Proportional to 2,149.20, 3,223.51 and 977.94

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Solution

The fourth proportional to 2,149.20, 3,223.51 and 977.94 is: 1,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.20 : 3,223.51 = 977.94 : x
  2. Step 2: Convert to fraction form
    2,149.20/3,223.51 = 977.94/x
  3. Step 3: Cross multiply
    2,149.20x = 3,223.51 × 977.94
  4. Step 4: Simplify right side
    2,149.20x = 3,152,384.70
  5. Step 5: Solve for x
    x = 3,152,384.70/2,149.20
  6. Step 6: Final answer
    x = 1,466.77

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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.