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Finding the Fourth Proportional to 3,861, 5,328.86 and 2,289.20

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Solution

The fourth proportional to 3,861, 5,328.86 and 2,289.20 is: 3,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861 : 5,328.86 = 2,289.20 : x
  2. Step 2: Convert to fraction form
    3,861/5,328.86 = 2,289.20/x
  3. Step 3: Cross multiply
    3,861x = 5,328.86 × 2,289.20
  4. Step 4: Simplify right side
    3,861x = 12,198,788.22
  5. Step 5: Solve for x
    x = 12,198,788.22/3,861
  6. Step 6: Final answer
    x = 3,159.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.