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Finding the Fourth Proportional to 2,575.19, 3,862.93 and 726.46

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Solution

The fourth proportional to 2,575.19, 3,862.93 and 726.46 is: 1,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.19 : 3,862.93 = 726.46 : x
  2. Step 2: Convert to fraction form
    2,575.19/3,862.93 = 726.46/x
  3. Step 3: Cross multiply
    2,575.19x = 3,862.93 × 726.46
  4. Step 4: Simplify right side
    2,575.19x = 2,806,255.38
  5. Step 5: Solve for x
    x = 2,806,255.38/2,575.19
  6. Step 6: Final answer
    x = 1,089.73

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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.