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Finding the Fourth Proportional to 2,585.44, 3,878.80 and 854.08

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Solution

The fourth proportional to 2,585.44, 3,878.80 and 854.08 is: 1,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.44 : 3,878.80 = 854.08 : x
  2. Step 2: Convert to fraction form
    2,585.44/3,878.80 = 854.08/x
  3. Step 3: Cross multiply
    2,585.44x = 3,878.80 × 854.08
  4. Step 4: Simplify right side
    2,585.44x = 3,312,805.50
  5. Step 5: Solve for x
    x = 3,312,805.50/2,585.44
  6. Step 6: Final answer
    x = 1,281.33

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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.