Home / 2,123.10-3,184.80-563.09

Finding the Fourth Proportional to 2,123.10, 3,184.80 and 563.09

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Solution

The fourth proportional to 2,123.10, 3,184.80 and 563.09 is: 844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.10 : 3,184.80 = 563.09 : x
  2. Step 2: Convert to fraction form
    2,123.10/3,184.80 = 563.09/x
  3. Step 3: Cross multiply
    2,123.10x = 3,184.80 × 563.09
  4. Step 4: Simplify right side
    2,123.10x = 1,793,329.03
  5. Step 5: Solve for x
    x = 1,793,329.03/2,123.10
  6. Step 6: Final answer
    x = 844.67

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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.