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Finding the Fourth Proportional to 2,825.76, 4,240.80 and 1,365.76

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Solution

The fourth proportional to 2,825.76, 4,240.80 and 1,365.76 is: 2,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.76 : 4,240.80 = 1,365.76 : x
  2. Step 2: Convert to fraction form
    2,825.76/4,240.80 = 1,365.76/x
  3. Step 3: Cross multiply
    2,825.76x = 4,240.80 × 1,365.76
  4. Step 4: Simplify right side
    2,825.76x = 5,791,915.01
  5. Step 5: Solve for x
    x = 5,791,915.01/2,825.76
  6. Step 6: Final answer
    x = 2,049.68

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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.