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Finding the Fourth Proportional to 3,859.74, 5,324.81 and 2,287.53

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Solution

The fourth proportional to 3,859.74, 5,324.81 and 2,287.53 is: 3,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.74 : 5,324.81 = 2,287.53 : x
  2. Step 2: Convert to fraction form
    3,859.74/5,324.81 = 2,287.53/x
  3. Step 3: Cross multiply
    3,859.74x = 5,324.81 × 2,287.53
  4. Step 4: Simplify right side
    3,859.74x = 12,180,651.18
  5. Step 5: Solve for x
    x = 12,180,651.18/3,859.74
  6. Step 6: Final answer
    x = 3,155.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.