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Finding the Fourth Proportional to 2,097.25, 3,146.09 and 558.25

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Solution

The fourth proportional to 2,097.25, 3,146.09 and 558.25 is: 837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.25 : 3,146.09 = 558.25 : x
  2. Step 2: Convert to fraction form
    2,097.25/3,146.09 = 558.25/x
  3. Step 3: Cross multiply
    2,097.25x = 3,146.09 × 558.25
  4. Step 4: Simplify right side
    2,097.25x = 1,756,304.74
  5. Step 5: Solve for x
    x = 1,756,304.74/2,097.25
  6. Step 6: Final answer
    x = 837.43

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1.5x scale

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.