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Finding the Fourth Proportional to 2,122.51, 3,183.40 and 562.53

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Solution

The fourth proportional to 2,122.51, 3,183.40 and 562.53 is: 843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.51 : 3,183.40 = 562.53 : x
  2. Step 2: Convert to fraction form
    2,122.51/3,183.40 = 562.53/x
  3. Step 3: Cross multiply
    2,122.51x = 3,183.40 × 562.53
  4. Step 4: Simplify right side
    2,122.51x = 1,790,758.00
  5. Step 5: Solve for x
    x = 1,790,758.00/2,122.51
  6. Step 6: Final answer
    x = 843.70

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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.