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Finding the Fourth Proportional to 2,386.98, 3,581.07 and 743.61

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Solution

The fourth proportional to 2,386.98, 3,581.07 and 743.61 is: 1,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.98 : 3,581.07 = 743.61 : x
  2. Step 2: Convert to fraction form
    2,386.98/3,581.07 = 743.61/x
  3. Step 3: Cross multiply
    2,386.98x = 3,581.07 × 743.61
  4. Step 4: Simplify right side
    2,386.98x = 2,662,919.46
  5. Step 5: Solve for x
    x = 2,662,919.46/2,386.98
  6. Step 6: Final answer
    x = 1,115.60

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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.