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Finding the Fourth Proportional to 2,972.26, 4,458.06 and 751.09

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Solution

The fourth proportional to 2,972.26, 4,458.06 and 751.09 is: 1,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.26 : 4,458.06 = 751.09 : x
  2. Step 2: Convert to fraction form
    2,972.26/4,458.06 = 751.09/x
  3. Step 3: Cross multiply
    2,972.26x = 4,458.06 × 751.09
  4. Step 4: Simplify right side
    2,972.26x = 3,348,393.14
  5. Step 5: Solve for x
    x = 3,348,393.14/2,972.26
  6. Step 6: Final answer
    x = 1,126.55

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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.