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Finding the Fourth Proportional to 3,424.83, 5,132.75 and 1,865.49

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Solution

The fourth proportional to 3,424.83, 5,132.75 and 1,865.49 is: 2,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.83 : 5,132.75 = 1,865.49 : x
  2. Step 2: Convert to fraction form
    3,424.83/5,132.75 = 1,865.49/x
  3. Step 3: Cross multiply
    3,424.83x = 5,132.75 × 1,865.49
  4. Step 4: Simplify right side
    3,424.83x = 9,575,084.47
  5. Step 5: Solve for x
    x = 9,575,084.47/3,424.83
  6. Step 6: Final answer
    x = 2,795.78

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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.