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Finding the Fourth Proportional to 5,322.37, 7,976.70 and 4,990.22

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Solution

The fourth proportional to 5,322.37, 7,976.70 and 4,990.22 is: 7,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.37 : 7,976.70 = 4,990.22 : x
  2. Step 2: Convert to fraction form
    5,322.37/7,976.70 = 4,990.22/x
  3. Step 3: Cross multiply
    5,322.37x = 7,976.70 × 4,990.22
  4. Step 4: Simplify right side
    5,322.37x = 39,805,487.87
  5. Step 5: Solve for x
    x = 39,805,487.87/5,322.37
  6. Step 6: Final answer
    x = 7,478.90

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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.