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Finding the Fourth Proportional to 2,124.06, 3,185.88 and 663.21

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Solution

The fourth proportional to 2,124.06, 3,185.88 and 663.21 is: 994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.06 : 3,185.88 = 663.21 : x
  2. Step 2: Convert to fraction form
    2,124.06/3,185.88 = 663.21/x
  3. Step 3: Cross multiply
    2,124.06x = 3,185.88 × 663.21
  4. Step 4: Simplify right side
    2,124.06x = 2,112,907.47
  5. Step 5: Solve for x
    x = 2,112,907.47/2,124.06
  6. Step 6: Final answer
    x = 994.75

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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.