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Finding the Fourth Proportional to 2,138.32, 3,207.36 and 751.72

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Solution

The fourth proportional to 2,138.32, 3,207.36 and 751.72 is: 1,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.32 : 3,207.36 = 751.72 : x
  2. Step 2: Convert to fraction form
    2,138.32/3,207.36 = 751.72/x
  3. Step 3: Cross multiply
    2,138.32x = 3,207.36 × 751.72
  4. Step 4: Simplify right side
    2,138.32x = 2,411,036.66
  5. Step 5: Solve for x
    x = 2,411,036.66/2,138.32
  6. Step 6: Final answer
    x = 1,127.54

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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.