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Finding the Fourth Proportional to 21,980.87, 32,976.52 and 7,190.98

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Solution

The fourth proportional to 21,980.87, 32,976.52 and 7,190.98 is: 10,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.87 : 32,976.52 = 7,190.98 : x
  2. Step 2: Convert to fraction form
    21,980.87/32,976.52 = 7,190.98/x
  3. Step 3: Cross multiply
    21,980.87x = 32,976.52 × 7,190.98
  4. Step 4: Simplify right side
    21,980.87x = 237,133,395.37
  5. Step 5: Solve for x
    x = 237,133,395.37/21,980.87
  6. Step 6: Final answer
    x = 10,788.17

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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.