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Finding the Fourth Proportional to 2,661.54, 3,994.32 and 997.20

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Solution

The fourth proportional to 2,661.54, 3,994.32 and 997.20 is: 1,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.54 : 3,994.32 = 997.20 : x
  2. Step 2: Convert to fraction form
    2,661.54/3,994.32 = 997.20/x
  3. Step 3: Cross multiply
    2,661.54x = 3,994.32 × 997.20
  4. Step 4: Simplify right side
    2,661.54x = 3,983,135.90
  5. Step 5: Solve for x
    x = 3,983,135.90/2,661.54
  6. Step 6: Final answer
    x = 1,496.55

Related Problems

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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.