Home / 2,564.74-3,842.40-2,288.02

Finding the Fourth Proportional to 2,564.74, 3,842.40 and 2,288.02

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Solution

The fourth proportional to 2,564.74, 3,842.40 and 2,288.02 is: 3,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.74 : 3,842.40 = 2,288.02 : x
  2. Step 2: Convert to fraction form
    2,564.74/3,842.40 = 2,288.02/x
  3. Step 3: Cross multiply
    2,564.74x = 3,842.40 × 2,288.02
  4. Step 4: Simplify right side
    2,564.74x = 8,791,488.05
  5. Step 5: Solve for x
    x = 8,791,488.05/2,564.74
  6. Step 6: Final answer
    x = 3,427.83

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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.