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Finding the Fourth Proportional to 2,491.30, 3,736.09 and 1,010.13

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Solution

The fourth proportional to 2,491.30, 3,736.09 and 1,010.13 is: 1,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.30 : 3,736.09 = 1,010.13 : x
  2. Step 2: Convert to fraction form
    2,491.30/3,736.09 = 1,010.13/x
  3. Step 3: Cross multiply
    2,491.30x = 3,736.09 × 1,010.13
  4. Step 4: Simplify right side
    2,491.30x = 3,773,936.59
  5. Step 5: Solve for x
    x = 3,773,936.59/2,491.30
  6. Step 6: Final answer
    x = 1,514.85

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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.