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Finding the Fourth Proportional to 2,538.74, 3,801.13 and 2,168.47

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Solution

The fourth proportional to 2,538.74, 3,801.13 and 2,168.47 is: 3,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.74 : 3,801.13 = 2,168.47 : x
  2. Step 2: Convert to fraction form
    2,538.74/3,801.13 = 2,168.47/x
  3. Step 3: Cross multiply
    2,538.74x = 3,801.13 × 2,168.47
  4. Step 4: Simplify right side
    2,538.74x = 8,242,635.70
  5. Step 5: Solve for x
    x = 8,242,635.70/2,538.74
  6. Step 6: Final answer
    x = 3,246.74

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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.