Home / 3,132.06-4,697.97-823.50

Finding the Fourth Proportional to 3,132.06, 4,697.97 and 823.50

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Solution

The fourth proportional to 3,132.06, 4,697.97 and 823.50 is: 1,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.06 : 4,697.97 = 823.50 : x
  2. Step 2: Convert to fraction form
    3,132.06/4,697.97 = 823.50/x
  3. Step 3: Cross multiply
    3,132.06x = 4,697.97 × 823.50
  4. Step 4: Simplify right side
    3,132.06x = 3,868,778.30
  5. Step 5: Solve for x
    x = 3,868,778.30/3,132.06
  6. Step 6: Final answer
    x = 1,235.22

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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.