Home / 3,077.12-4,616.42-997.13

Finding the Fourth Proportional to 3,077.12, 4,616.42 and 997.13

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Solution

The fourth proportional to 3,077.12, 4,616.42 and 997.13 is: 1,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.12 : 4,616.42 = 997.13 : x
  2. Step 2: Convert to fraction form
    3,077.12/4,616.42 = 997.13/x
  3. Step 3: Cross multiply
    3,077.12x = 4,616.42 × 997.13
  4. Step 4: Simplify right side
    3,077.12x = 4,603,170.87
  5. Step 5: Solve for x
    x = 4,603,170.87/3,077.12
  6. Step 6: Final answer
    x = 1,495.93

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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.