Home / 3,414.08-5,121.16-1,564.72

Finding the Fourth Proportional to 3,414.08, 5,121.16 and 1,564.72

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Solution

The fourth proportional to 3,414.08, 5,121.16 and 1,564.72 is: 2,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.08 : 5,121.16 = 1,564.72 : x
  2. Step 2: Convert to fraction form
    3,414.08/5,121.16 = 1,564.72/x
  3. Step 3: Cross multiply
    3,414.08x = 5,121.16 × 1,564.72
  4. Step 4: Simplify right side
    3,414.08x = 8,013,164.76
  5. Step 5: Solve for x
    x = 8,013,164.76/3,414.08
  6. Step 6: Final answer
    x = 2,347.09

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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.