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Finding the Fourth Proportional to 2,122.83, 3,185.01 and 952.74

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Solution

The fourth proportional to 2,122.83, 3,185.01 and 952.74 is: 1,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.83 : 3,185.01 = 952.74 : x
  2. Step 2: Convert to fraction form
    2,122.83/3,185.01 = 952.74/x
  3. Step 3: Cross multiply
    2,122.83x = 3,185.01 × 952.74
  4. Step 4: Simplify right side
    2,122.83x = 3,034,486.43
  5. Step 5: Solve for x
    x = 3,034,486.43/2,122.83
  6. Step 6: Final answer
    x = 1,429.45

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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.