Home / 3,178.24-4,385.94-1,781

Finding the Fourth Proportional to 3,178.24, 4,385.94 and 1,781

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Solution

The fourth proportional to 3,178.24, 4,385.94 and 1,781 is: 2,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.24 : 4,385.94 = 1,781 : x
  2. Step 2: Convert to fraction form
    3,178.24/4,385.94 = 1,781/x
  3. Step 3: Cross multiply
    3,178.24x = 4,385.94 × 1,781
  4. Step 4: Simplify right side
    3,178.24x = 7,811,359.14
  5. Step 5: Solve for x
    x = 7,811,359.14/3,178.24
  6. Step 6: Final answer
    x = 2,457.76

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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.