Home / 2,123.15-3,184.65-563.17

Finding the Fourth Proportional to 2,123.15, 3,184.65 and 563.17

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Solution

The fourth proportional to 2,123.15, 3,184.65 and 563.17 is: 844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.15 : 3,184.65 = 563.17 : x
  2. Step 2: Convert to fraction form
    2,123.15/3,184.65 = 563.17/x
  3. Step 3: Cross multiply
    2,123.15x = 3,184.65 × 563.17
  4. Step 4: Simplify right side
    2,123.15x = 1,793,480.60
  5. Step 5: Solve for x
    x = 1,793,480.60/2,123.15
  6. Step 6: Final answer
    x = 844.73

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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.