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Finding the Fourth Proportional to 7,173.99, 10,761 and 1,980.27

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Solution

The fourth proportional to 7,173.99, 10,761 and 1,980.27 is: 2,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.99 : 10,761 = 1,980.27 : x
  2. Step 2: Convert to fraction form
    7,173.99/10,761 = 1,980.27/x
  3. Step 3: Cross multiply
    7,173.99x = 10,761 × 1,980.27
  4. Step 4: Simplify right side
    7,173.99x = 21,309,685.47
  5. Step 5: Solve for x
    x = 21,309,685.47/7,173.99
  6. Step 6: Final answer
    x = 2,970.41

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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.