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Finding the Fourth Proportional to 2,878.74, 4,316.22 and 1,028.90

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Solution

The fourth proportional to 2,878.74, 4,316.22 and 1,028.90 is: 1,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.74 : 4,316.22 = 1,028.90 : x
  2. Step 2: Convert to fraction form
    2,878.74/4,316.22 = 1,028.90/x
  3. Step 3: Cross multiply
    2,878.74x = 4,316.22 × 1,028.90
  4. Step 4: Simplify right side
    2,878.74x = 4,440,969.55
  5. Step 5: Solve for x
    x = 4,440,969.55/2,878.74
  6. Step 6: Final answer
    x = 1,542.68

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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.