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Finding the Fourth Proportional to 2,123.87, 3,185.80 and 663.14

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Solution

The fourth proportional to 2,123.87, 3,185.80 and 663.14 is: 994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.87 : 3,185.80 = 663.14 : x
  2. Step 2: Convert to fraction form
    2,123.87/3,185.80 = 663.14/x
  3. Step 3: Cross multiply
    2,123.87x = 3,185.80 × 663.14
  4. Step 4: Simplify right side
    2,123.87x = 2,112,645.35
  5. Step 5: Solve for x
    x = 2,112,645.35/2,123.87
  6. Step 6: Final answer
    x = 994.72

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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.