Home / 3,827.78-5,741.66-1,054.47

Finding the Fourth Proportional to 3,827.78, 5,741.66 and 1,054.47

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Solution

The fourth proportional to 3,827.78, 5,741.66 and 1,054.47 is: 1,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.78 : 5,741.66 = 1,054.47 : x
  2. Step 2: Convert to fraction form
    3,827.78/5,741.66 = 1,054.47/x
  3. Step 3: Cross multiply
    3,827.78x = 5,741.66 × 1,054.47
  4. Step 4: Simplify right side
    3,827.78x = 6,054,382.15
  5. Step 5: Solve for x
    x = 6,054,382.15/3,827.78
  6. Step 6: Final answer
    x = 1,581.70

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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.