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Finding the Fourth Proportional to 2,878.90, 3,955.68 and 2,288.42

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Solution

The fourth proportional to 2,878.90, 3,955.68 and 2,288.42 is: 3,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.90 : 3,955.68 = 2,288.42 : x
  2. Step 2: Convert to fraction form
    2,878.90/3,955.68 = 2,288.42/x
  3. Step 3: Cross multiply
    2,878.90x = 3,955.68 × 2,288.42
  4. Step 4: Simplify right side
    2,878.90x = 9,052,257.23
  5. Step 5: Solve for x
    x = 9,052,257.23/2,878.90
  6. Step 6: Final answer
    x = 3,144.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.