Home / 2,123.24-3,184.99-563.21

Finding the Fourth Proportional to 2,123.24, 3,184.99 and 563.21

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Solution

The fourth proportional to 2,123.24, 3,184.99 and 563.21 is: 844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.24 : 3,184.99 = 563.21 : x
  2. Step 2: Convert to fraction form
    2,123.24/3,184.99 = 563.21/x
  3. Step 3: Cross multiply
    2,123.24x = 3,184.99 × 563.21
  4. Step 4: Simplify right side
    2,123.24x = 1,793,824.77
  5. Step 5: Solve for x
    x = 1,793,824.77/2,123.24
  6. Step 6: Final answer
    x = 844.85

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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.