Home / 2,979-4,107.82-2,047.16

Finding the Fourth Proportional to 2,979, 4,107.82 and 2,047.16

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Solution

The fourth proportional to 2,979, 4,107.82 and 2,047.16 is: 2,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979 : 4,107.82 = 2,047.16 : x
  2. Step 2: Convert to fraction form
    2,979/4,107.82 = 2,047.16/x
  3. Step 3: Cross multiply
    2,979x = 4,107.82 × 2,047.16
  4. Step 4: Simplify right side
    2,979x = 8,409,364.79
  5. Step 5: Solve for x
    x = 8,409,364.79/2,979
  6. Step 6: Final answer
    x = 2,822.88

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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.