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Finding the Fourth Proportional to 3,881.96, 5,823.13 and 1,109.03

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Solution

The fourth proportional to 3,881.96, 5,823.13 and 1,109.03 is: 1,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.96 : 5,823.13 = 1,109.03 : x
  2. Step 2: Convert to fraction form
    3,881.96/5,823.13 = 1,109.03/x
  3. Step 3: Cross multiply
    3,881.96x = 5,823.13 × 1,109.03
  4. Step 4: Simplify right side
    3,881.96x = 6,458,025.86
  5. Step 5: Solve for x
    x = 6,458,025.86/3,881.96
  6. Step 6: Final answer
    x = 1,663.60

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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.