Home / 2,154.78-3,234.43-1,909.55

Finding the Fourth Proportional to 2,154.78, 3,234.43 and 1,909.55

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Solution

The fourth proportional to 2,154.78, 3,234.43 and 1,909.55 is: 2,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.78 : 3,234.43 = 1,909.55 : x
  2. Step 2: Convert to fraction form
    2,154.78/3,234.43 = 1,909.55/x
  3. Step 3: Cross multiply
    2,154.78x = 3,234.43 × 1,909.55
  4. Step 4: Simplify right side
    2,154.78x = 6,176,317.42
  5. Step 5: Solve for x
    x = 6,176,317.42/2,154.78
  6. Step 6: Final answer
    x = 2,866.34

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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.