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Finding the Fourth Proportional to 2,097.23, 3,145.78 and 537.23

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Solution

The fourth proportional to 2,097.23, 3,145.78 and 537.23 is: 805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.23 : 3,145.78 = 537.23 : x
  2. Step 2: Convert to fraction form
    2,097.23/3,145.78 = 537.23/x
  3. Step 3: Cross multiply
    2,097.23x = 3,145.78 × 537.23
  4. Step 4: Simplify right side
    2,097.23x = 1,689,990.32
  5. Step 5: Solve for x
    x = 1,689,990.32/2,097.23
  6. Step 6: Final answer
    x = 805.82

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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.