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Finding the Fourth Proportional to 2,097.61, 3,146.42 and 537.62

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Solution

The fourth proportional to 2,097.61, 3,146.42 and 537.62 is: 806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.61 : 3,146.42 = 537.62 : x
  2. Step 2: Convert to fraction form
    2,097.61/3,146.42 = 537.62/x
  3. Step 3: Cross multiply
    2,097.61x = 3,146.42 × 537.62
  4. Step 4: Simplify right side
    2,097.61x = 1,691,566.84
  5. Step 5: Solve for x
    x = 1,691,566.84/2,097.61
  6. Step 6: Final answer
    x = 806.42

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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.