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Finding the Fourth Proportional to 2,138.57, 3,207.07 and 751.65

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Solution

The fourth proportional to 2,138.57, 3,207.07 and 751.65 is: 1,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.57 : 3,207.07 = 751.65 : x
  2. Step 2: Convert to fraction form
    2,138.57/3,207.07 = 751.65/x
  3. Step 3: Cross multiply
    2,138.57x = 3,207.07 × 751.65
  4. Step 4: Simplify right side
    2,138.57x = 2,410,594.17
  5. Step 5: Solve for x
    x = 2,410,594.17/2,138.57
  6. Step 6: Final answer
    x = 1,127.20

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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.