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Finding the Fourth Proportional to 2,124.08, 3,186.11 and 663.23

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Solution

The fourth proportional to 2,124.08, 3,186.11 and 663.23 is: 994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.08 : 3,186.11 = 663.23 : x
  2. Step 2: Convert to fraction form
    2,124.08/3,186.11 = 663.23/x
  3. Step 3: Cross multiply
    2,124.08x = 3,186.11 × 663.23
  4. Step 4: Simplify right side
    2,124.08x = 2,113,133.36
  5. Step 5: Solve for x
    x = 2,113,133.36/2,124.08
  6. Step 6: Final answer
    x = 994.85

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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.