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Finding the Fourth Proportional to 7,309.81, 10,965.80 and 2,115.01

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Solution

The fourth proportional to 7,309.81, 10,965.80 and 2,115.01 is: 3,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.81 : 10,965.80 = 2,115.01 : x
  2. Step 2: Convert to fraction form
    7,309.81/10,965.80 = 2,115.01/x
  3. Step 3: Cross multiply
    7,309.81x = 10,965.80 × 2,115.01
  4. Step 4: Simplify right side
    7,309.81x = 23,192,783.76
  5. Step 5: Solve for x
    x = 23,192,783.76/7,309.81
  6. Step 6: Final answer
    x = 3,172.83

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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.