Home / 2,123.75-3,185.80-563.72

Finding the Fourth Proportional to 2,123.75, 3,185.80 and 563.72

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Solution

The fourth proportional to 2,123.75, 3,185.80 and 563.72 is: 845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.75 : 3,185.80 = 563.72 : x
  2. Step 2: Convert to fraction form
    2,123.75/3,185.80 = 563.72/x
  3. Step 3: Cross multiply
    2,123.75x = 3,185.80 × 563.72
  4. Step 4: Simplify right side
    2,123.75x = 1,795,881.84
  5. Step 5: Solve for x
    x = 1,795,881.84/2,123.75
  6. Step 6: Final answer
    x = 845.62

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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.