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Finding the Fourth Proportional to 2,696.90, 4,045.38 and 749.26

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Solution

The fourth proportional to 2,696.90, 4,045.38 and 749.26 is: 1,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.90 : 4,045.38 = 749.26 : x
  2. Step 2: Convert to fraction form
    2,696.90/4,045.38 = 749.26/x
  3. Step 3: Cross multiply
    2,696.90x = 4,045.38 × 749.26
  4. Step 4: Simplify right side
    2,696.90x = 3,031,031.31
  5. Step 5: Solve for x
    x = 3,031,031.31/2,696.90
  6. Step 6: Final answer
    x = 1,123.89

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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.