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Finding the Fourth Proportional to 2,123.52, 3,184.90 and 563.54

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Solution

The fourth proportional to 2,123.52, 3,184.90 and 563.54 is: 845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.52 : 3,184.90 = 563.54 : x
  2. Step 2: Convert to fraction form
    2,123.52/3,184.90 = 563.54/x
  3. Step 3: Cross multiply
    2,123.52x = 3,184.90 × 563.54
  4. Step 4: Simplify right side
    2,123.52x = 1,794,818.55
  5. Step 5: Solve for x
    x = 1,794,818.55/2,123.52
  6. Step 6: Final answer
    x = 845.21

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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.