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Finding the Fourth Proportional to 3,726.50, 5,589.76 and 990.50

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Solution

The fourth proportional to 3,726.50, 5,589.76 and 990.50 is: 1,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.50 : 5,589.76 = 990.50 : x
  2. Step 2: Convert to fraction form
    3,726.50/5,589.76 = 990.50/x
  3. Step 3: Cross multiply
    3,726.50x = 5,589.76 × 990.50
  4. Step 4: Simplify right side
    3,726.50x = 5,536,657.28
  5. Step 5: Solve for x
    x = 5,536,657.28/3,726.50
  6. Step 6: Final answer
    x = 1,485.75

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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.