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Finding the Fourth Proportional to 2,878.35, 4,315.02 and 2,442.43

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Solution

The fourth proportional to 2,878.35, 4,315.02 and 2,442.43 is: 3,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.35 : 4,315.02 = 2,442.43 : x
  2. Step 2: Convert to fraction form
    2,878.35/4,315.02 = 2,442.43/x
  3. Step 3: Cross multiply
    2,878.35x = 4,315.02 × 2,442.43
  4. Step 4: Simplify right side
    2,878.35x = 10,539,134.30
  5. Step 5: Solve for x
    x = 10,539,134.30/2,878.35
  6. Step 6: Final answer
    x = 3,661.52

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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.