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Finding the Fourth Proportional to 2,137.54, 3,203.76 and 1,397.52

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Solution

The fourth proportional to 2,137.54, 3,203.76 and 1,397.52 is: 2,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.54 : 3,203.76 = 1,397.52 : x
  2. Step 2: Convert to fraction form
    2,137.54/3,203.76 = 1,397.52/x
  3. Step 3: Cross multiply
    2,137.54x = 3,203.76 × 1,397.52
  4. Step 4: Simplify right side
    2,137.54x = 4,477,318.68
  5. Step 5: Solve for x
    x = 4,477,318.68/2,137.54
  6. Step 6: Final answer
    x = 2,094.61

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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.