Home / 2,947.88-4,422.78-1,409

Finding the Fourth Proportional to 2,947.88, 4,422.78 and 1,409

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Solution

The fourth proportional to 2,947.88, 4,422.78 and 1,409 is: 2,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.88 : 4,422.78 = 1,409 : x
  2. Step 2: Convert to fraction form
    2,947.88/4,422.78 = 1,409/x
  3. Step 3: Cross multiply
    2,947.88x = 4,422.78 × 1,409
  4. Step 4: Simplify right side
    2,947.88x = 6,231,697.02
  5. Step 5: Solve for x
    x = 6,231,697.02/2,947.88
  6. Step 6: Final answer
    x = 2,113.96

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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.