Home / 2,977.24-4,107.90-2,047

Finding the Fourth Proportional to 2,977.24, 4,107.90 and 2,047

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Solution

The fourth proportional to 2,977.24, 4,107.90 and 2,047 is: 2,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.24 : 4,107.90 = 2,047 : x
  2. Step 2: Convert to fraction form
    2,977.24/4,107.90 = 2,047/x
  3. Step 3: Cross multiply
    2,977.24x = 4,107.90 × 2,047
  4. Step 4: Simplify right side
    2,977.24x = 8,408,871.30
  5. Step 5: Solve for x
    x = 8,408,871.30/2,977.24
  6. Step 6: Final answer
    x = 2,824.38

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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.