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Finding the Fourth Proportional to 3,886.80, 5,823.72 and 2,730.48

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Solution

The fourth proportional to 3,886.80, 5,823.72 and 2,730.48 is: 4,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.80 : 5,823.72 = 2,730.48 : x
  2. Step 2: Convert to fraction form
    3,886.80/5,823.72 = 2,730.48/x
  3. Step 3: Cross multiply
    3,886.80x = 5,823.72 × 2,730.48
  4. Step 4: Simplify right side
    3,886.80x = 15,901,550.99
  5. Step 5: Solve for x
    x = 15,901,550.99/3,886.80
  6. Step 6: Final answer
    x = 4,091.17

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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.