Home / 2,148.78-3,223.14-609.78

Finding the Fourth Proportional to 2,148.78, 3,223.14 and 609.78

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Solution

The fourth proportional to 2,148.78, 3,223.14 and 609.78 is: 914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.78 : 3,223.14 = 609.78 : x
  2. Step 2: Convert to fraction form
    2,148.78/3,223.14 = 609.78/x
  3. Step 3: Cross multiply
    2,148.78x = 3,223.14 × 609.78
  4. Step 4: Simplify right side
    2,148.78x = 1,965,406.31
  5. Step 5: Solve for x
    x = 1,965,406.31/2,148.78
  6. Step 6: Final answer
    x = 914.66

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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.