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Finding the Fourth Proportional to 2,115.25, 3,173.01 and 576.25

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Solution

The fourth proportional to 2,115.25, 3,173.01 and 576.25 is: 864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.25 : 3,173.01 = 576.25 : x
  2. Step 2: Convert to fraction form
    2,115.25/3,173.01 = 576.25/x
  3. Step 3: Cross multiply
    2,115.25x = 3,173.01 × 576.25
  4. Step 4: Simplify right side
    2,115.25x = 1,828,447.01
  5. Step 5: Solve for x
    x = 1,828,447.01/2,115.25
  6. Step 6: Final answer
    x = 864.41

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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.