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Finding the Fourth Proportional to 2,681.80, 4,019.14 and 1,449.52

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Solution

The fourth proportional to 2,681.80, 4,019.14 and 1,449.52 is: 2,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.80 : 4,019.14 = 1,449.52 : x
  2. Step 2: Convert to fraction form
    2,681.80/4,019.14 = 1,449.52/x
  3. Step 3: Cross multiply
    2,681.80x = 4,019.14 × 1,449.52
  4. Step 4: Simplify right side
    2,681.80x = 5,825,823.81
  5. Step 5: Solve for x
    x = 5,825,823.81/2,681.80
  6. Step 6: Final answer
    x = 2,172.36

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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.