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Finding the Fourth Proportional to 1,878.26, 2,591.99 and 1,050.26

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Solution

The fourth proportional to 1,878.26, 2,591.99 and 1,050.26 is: 1,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.26 : 2,591.99 = 1,050.26 : x
  2. Step 2: Convert to fraction form
    1,878.26/2,591.99 = 1,050.26/x
  3. Step 3: Cross multiply
    1,878.26x = 2,591.99 × 1,050.26
  4. Step 4: Simplify right side
    1,878.26x = 2,722,263.42
  5. Step 5: Solve for x
    x = 2,722,263.42/1,878.26
  6. Step 6: Final answer
    x = 1,449.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.