Home / 3,178.16-4,385.68-1,781

Finding the Fourth Proportional to 3,178.16, 4,385.68 and 1,781

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Solution

The fourth proportional to 3,178.16, 4,385.68 and 1,781 is: 2,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.16 : 4,385.68 = 1,781 : x
  2. Step 2: Convert to fraction form
    3,178.16/4,385.68 = 1,781/x
  3. Step 3: Cross multiply
    3,178.16x = 4,385.68 × 1,781
  4. Step 4: Simplify right side
    3,178.16x = 7,810,896.08
  5. Step 5: Solve for x
    x = 7,810,896.08/3,178.16
  6. Step 6: Final answer
    x = 2,457.68

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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.