Home / 2,229.75-3,072.20-1,564.74

Finding the Fourth Proportional to 2,229.75, 3,072.20 and 1,564.74

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Solution

The fourth proportional to 2,229.75, 3,072.20 and 1,564.74 is: 2,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.75 : 3,072.20 = 1,564.74 : x
  2. Step 2: Convert to fraction form
    2,229.75/3,072.20 = 1,564.74/x
  3. Step 3: Cross multiply
    2,229.75x = 3,072.20 × 1,564.74
  4. Step 4: Simplify right side
    2,229.75x = 4,807,186.40
  5. Step 5: Solve for x
    x = 4,807,186.40/2,229.75
  6. Step 6: Final answer
    x = 2,155.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.