Home / 3,178.26-4,386.28-1,781

Finding the Fourth Proportional to 3,178.26, 4,386.28 and 1,781

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Solution

The fourth proportional to 3,178.26, 4,386.28 and 1,781 is: 2,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.26 : 4,386.28 = 1,781 : x
  2. Step 2: Convert to fraction form
    3,178.26/4,386.28 = 1,781/x
  3. Step 3: Cross multiply
    3,178.26x = 4,386.28 × 1,781
  4. Step 4: Simplify right side
    3,178.26x = 7,811,964.68
  5. Step 5: Solve for x
    x = 7,811,964.68/3,178.26
  6. Step 6: Final answer
    x = 2,457.94

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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.