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Finding the Fourth Proportional to 1,426.95, 2,138.45 and 778.23

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Solution

The fourth proportional to 1,426.95, 2,138.45 and 778.23 is: 1,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.95 : 2,138.45 = 778.23 : x
  2. Step 2: Convert to fraction form
    1,426.95/2,138.45 = 778.23/x
  3. Step 3: Cross multiply
    1,426.95x = 2,138.45 × 778.23
  4. Step 4: Simplify right side
    1,426.95x = 1,664,202.05
  5. Step 5: Solve for x
    x = 1,664,202.05/1,426.95
  6. Step 6: Final answer
    x = 1,166.27

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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.