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Finding the Fourth Proportional to 3,827.72, 5,740.84 and 1,053.71

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Solution

The fourth proportional to 3,827.72, 5,740.84 and 1,053.71 is: 1,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.72 : 5,740.84 = 1,053.71 : x
  2. Step 2: Convert to fraction form
    3,827.72/5,740.84 = 1,053.71/x
  3. Step 3: Cross multiply
    3,827.72x = 5,740.84 × 1,053.71
  4. Step 4: Simplify right side
    3,827.72x = 6,049,174.66
  5. Step 5: Solve for x
    x = 6,049,174.66/3,827.72
  6. Step 6: Final answer
    x = 1,580.36

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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.