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Finding the Fourth Proportional to 2,585.52, 3,878.28 and 854.28

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Solution

The fourth proportional to 2,585.52, 3,878.28 and 854.28 is: 1,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.52 : 3,878.28 = 854.28 : x
  2. Step 2: Convert to fraction form
    2,585.52/3,878.28 = 854.28/x
  3. Step 3: Cross multiply
    2,585.52x = 3,878.28 × 854.28
  4. Step 4: Simplify right side
    2,585.52x = 3,313,137.04
  5. Step 5: Solve for x
    x = 3,313,137.04/2,585.52
  6. Step 6: Final answer
    x = 1,281.42

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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.