Home / 3,214-4,436.40-2,285.20

Finding the Fourth Proportional to 3,214, 4,436.40 and 2,285.20

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Solution

The fourth proportional to 3,214, 4,436.40 and 2,285.20 is: 3,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214 : 4,436.40 = 2,285.20 : x
  2. Step 2: Convert to fraction form
    3,214/4,436.40 = 2,285.20/x
  3. Step 3: Cross multiply
    3,214x = 4,436.40 × 2,285.20
  4. Step 4: Simplify right side
    3,214x = 10,138,061.28
  5. Step 5: Solve for x
    x = 10,138,061.28/3,214
  6. Step 6: Final answer
    x = 3,154.34

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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.