Home / 3,876.50-5,811.46-1,538.16

Finding the Fourth Proportional to 3,876.50, 5,811.46 and 1,538.16

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Solution

The fourth proportional to 3,876.50, 5,811.46 and 1,538.16 is: 2,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.50 : 5,811.46 = 1,538.16 : x
  2. Step 2: Convert to fraction form
    3,876.50/5,811.46 = 1,538.16/x
  3. Step 3: Cross multiply
    3,876.50x = 5,811.46 × 1,538.16
  4. Step 4: Simplify right side
    3,876.50x = 8,938,955.31
  5. Step 5: Solve for x
    x = 8,938,955.31/3,876.50
  6. Step 6: Final answer
    x = 2,305.93

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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.