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Finding the Fourth Proportional to 2,725.78, 4,089.40 and 778.14

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Solution

The fourth proportional to 2,725.78, 4,089.40 and 778.14 is: 1,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.78 : 4,089.40 = 778.14 : x
  2. Step 2: Convert to fraction form
    2,725.78/4,089.40 = 778.14/x
  3. Step 3: Cross multiply
    2,725.78x = 4,089.40 × 778.14
  4. Step 4: Simplify right side
    2,725.78x = 3,182,125.72
  5. Step 5: Solve for x
    x = 3,182,125.72/2,725.78
  6. Step 6: Final answer
    x = 1,167.42

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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.