Home / 2,102.12-3,152.94-563.24

Finding the Fourth Proportional to 2,102.12, 3,152.94 and 563.24

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Solution

The fourth proportional to 2,102.12, 3,152.94 and 563.24 is: 844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.12 : 3,152.94 = 563.24 : x
  2. Step 2: Convert to fraction form
    2,102.12/3,152.94 = 563.24/x
  3. Step 3: Cross multiply
    2,102.12x = 3,152.94 × 563.24
  4. Step 4: Simplify right side
    2,102.12x = 1,775,861.93
  5. Step 5: Solve for x
    x = 1,775,861.93/2,102.12
  6. Step 6: Final answer
    x = 844.80

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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.