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Finding the Fourth Proportional to 2,412.90, 3,619.35 and 681.57

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Solution

The fourth proportional to 2,412.90, 3,619.35 and 681.57 is: 1,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.90 : 3,619.35 = 681.57 : x
  2. Step 2: Convert to fraction form
    2,412.90/3,619.35 = 681.57/x
  3. Step 3: Cross multiply
    2,412.90x = 3,619.35 × 681.57
  4. Step 4: Simplify right side
    2,412.90x = 2,466,840.38
  5. Step 5: Solve for x
    x = 2,466,840.38/2,412.90
  6. Step 6: Final answer
    x = 1,022.36

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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.