Home / 2,653.14-3,657.78-2,278.50

Finding the Fourth Proportional to 2,653.14, 3,657.78 and 2,278.50

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Solution

The fourth proportional to 2,653.14, 3,657.78 and 2,278.50 is: 3,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.14 : 3,657.78 = 2,278.50 : x
  2. Step 2: Convert to fraction form
    2,653.14/3,657.78 = 2,278.50/x
  3. Step 3: Cross multiply
    2,653.14x = 3,657.78 × 2,278.50
  4. Step 4: Simplify right side
    2,653.14x = 8,334,251.73
  5. Step 5: Solve for x
    x = 8,334,251.73/2,653.14
  6. Step 6: Final answer
    x = 3,141.28

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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.