Home / 2,274.16-3,408.40-974.12

Finding the Fourth Proportional to 2,274.16, 3,408.40 and 974.12

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Solution

The fourth proportional to 2,274.16, 3,408.40 and 974.12 is: 1,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.16 : 3,408.40 = 974.12 : x
  2. Step 2: Convert to fraction form
    2,274.16/3,408.40 = 974.12/x
  3. Step 3: Cross multiply
    2,274.16x = 3,408.40 × 974.12
  4. Step 4: Simplify right side
    2,274.16x = 3,320,190.61
  5. Step 5: Solve for x
    x = 3,320,190.61/2,274.16
  6. Step 6: Final answer
    x = 1,459.96

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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.