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Finding the Fourth Proportional to 2,386.33, 3,579.91 and 743.04

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Solution

The fourth proportional to 2,386.33, 3,579.91 and 743.04 is: 1,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.33 : 3,579.91 = 743.04 : x
  2. Step 2: Convert to fraction form
    2,386.33/3,579.91 = 743.04/x
  3. Step 3: Cross multiply
    2,386.33x = 3,579.91 × 743.04
  4. Step 4: Simplify right side
    2,386.33x = 2,660,014.47
  5. Step 5: Solve for x
    x = 2,660,014.47/2,386.33
  6. Step 6: Final answer
    x = 1,114.69

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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.