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Finding the Fourth Proportional to 2,825.84, 4,238.76 and 878.24

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Solution

The fourth proportional to 2,825.84, 4,238.76 and 878.24 is: 1,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.84 : 4,238.76 = 878.24 : x
  2. Step 2: Convert to fraction form
    2,825.84/4,238.76 = 878.24/x
  3. Step 3: Cross multiply
    2,825.84x = 4,238.76 × 878.24
  4. Step 4: Simplify right side
    2,825.84x = 3,722,648.58
  5. Step 5: Solve for x
    x = 3,722,648.58/2,825.84
  6. Step 6: Final answer
    x = 1,317.36

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1.5x scale

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.