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Finding the Fourth Proportional to 3,997.40, 5,994.51 and 1,223.15

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Solution

The fourth proportional to 3,997.40, 5,994.51 and 1,223.15 is: 1,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.40 : 5,994.51 = 1,223.15 : x
  2. Step 2: Convert to fraction form
    3,997.40/5,994.51 = 1,223.15/x
  3. Step 3: Cross multiply
    3,997.40x = 5,994.51 × 1,223.15
  4. Step 4: Simplify right side
    3,997.40x = 7,332,184.91
  5. Step 5: Solve for x
    x = 7,332,184.91/3,997.40
  6. Step 6: Final answer
    x = 1,834.24

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Similar ratio
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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.