Home / 3,834.10-5,754.31-1,985.78

Finding the Fourth Proportional to 3,834.10, 5,754.31 and 1,985.78

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Solution

The fourth proportional to 3,834.10, 5,754.31 and 1,985.78 is: 2,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.10 : 5,754.31 = 1,985.78 : x
  2. Step 2: Convert to fraction form
    3,834.10/5,754.31 = 1,985.78/x
  3. Step 3: Cross multiply
    3,834.10x = 5,754.31 × 1,985.78
  4. Step 4: Simplify right side
    3,834.10x = 11,426,803.13
  5. Step 5: Solve for x
    x = 11,426,803.13/3,834.10
  6. Step 6: Final answer
    x = 2,980.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.