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Finding the Fourth Proportional to 3,669, 5,063.28 and 2,097.12

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Solution

The fourth proportional to 3,669, 5,063.28 and 2,097.12 is: 2,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669 : 5,063.28 = 2,097.12 : x
  2. Step 2: Convert to fraction form
    3,669/5,063.28 = 2,097.12/x
  3. Step 3: Cross multiply
    3,669x = 5,063.28 × 2,097.12
  4. Step 4: Simplify right side
    3,669x = 10,618,305.75
  5. Step 5: Solve for x
    x = 10,618,305.75/3,669
  6. Step 6: Final answer
    x = 2,894.06

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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.