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Finding the Fourth Proportional to 2,097.31, 3,145.97 and 558.31

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Solution

The fourth proportional to 2,097.31, 3,145.97 and 558.31 is: 837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.31 : 3,145.97 = 558.31 : x
  2. Step 2: Convert to fraction form
    2,097.31/3,145.97 = 558.31/x
  3. Step 3: Cross multiply
    2,097.31x = 3,145.97 × 558.31
  4. Step 4: Simplify right side
    2,097.31x = 1,756,426.51
  5. Step 5: Solve for x
    x = 1,756,426.51/2,097.31
  6. Step 6: Final answer
    x = 837.47

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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.