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Finding the Fourth Proportional to 2,862.74, 4,290.44 and 2,491.00

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Solution

The fourth proportional to 2,862.74, 4,290.44 and 2,491.00 is: 3,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.74 : 4,290.44 = 2,491.00 : x
  2. Step 2: Convert to fraction form
    2,862.74/4,290.44 = 2,491.00/x
  3. Step 3: Cross multiply
    2,862.74x = 4,290.44 × 2,491.00
  4. Step 4: Simplify right side
    2,862.74x = 10,687,508.01
  5. Step 5: Solve for x
    x = 10,687,508.01/2,862.74
  6. Step 6: Final answer
    x = 3,733.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.