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Finding the Fourth Proportional to 2,102.56, 3,153.86 and 563.56

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Solution

The fourth proportional to 2,102.56, 3,153.86 and 563.56 is: 845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.56 : 3,153.86 = 563.56 : x
  2. Step 2: Convert to fraction form
    2,102.56/3,153.86 = 563.56/x
  3. Step 3: Cross multiply
    2,102.56x = 3,153.86 × 563.56
  4. Step 4: Simplify right side
    2,102.56x = 1,777,389.34
  5. Step 5: Solve for x
    x = 1,777,389.34/2,102.56
  6. Step 6: Final answer
    x = 845.35

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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.