Home / 3,414.90-5,123.70-1,564.68

Finding the Fourth Proportional to 3,414.90, 5,123.70 and 1,564.68

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Solution

The fourth proportional to 3,414.90, 5,123.70 and 1,564.68 is: 2,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.90 : 5,123.70 = 1,564.68 : x
  2. Step 2: Convert to fraction form
    3,414.90/5,123.70 = 1,564.68/x
  3. Step 3: Cross multiply
    3,414.90x = 5,123.70 × 1,564.68
  4. Step 4: Simplify right side
    3,414.90x = 8,016,950.92
  5. Step 5: Solve for x
    x = 8,016,950.92/3,414.90
  6. Step 6: Final answer
    x = 2,347.64

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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.