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Finding the Fourth Proportional to 2,212.92, 3,319.32 and 752.10

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Solution

The fourth proportional to 2,212.92, 3,319.32 and 752.10 is: 1,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.92 : 3,319.32 = 752.10 : x
  2. Step 2: Convert to fraction form
    2,212.92/3,319.32 = 752.10/x
  3. Step 3: Cross multiply
    2,212.92x = 3,319.32 × 752.10
  4. Step 4: Simplify right side
    2,212.92x = 2,496,460.57
  5. Step 5: Solve for x
    x = 2,496,460.57/2,212.92
  6. Step 6: Final answer
    x = 1,128.13

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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.