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Finding the Fourth Proportional to 7,309.21, 10,964.87 and 2,309.89

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Solution

The fourth proportional to 7,309.21, 10,964.87 and 2,309.89 is: 3,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.21 : 10,964.87 = 2,309.89 : x
  2. Step 2: Convert to fraction form
    7,309.21/10,964.87 = 2,309.89/x
  3. Step 3: Cross multiply
    7,309.21x = 10,964.87 × 2,309.89
  4. Step 4: Simplify right side
    7,309.21x = 25,327,643.56
  5. Step 5: Solve for x
    x = 25,327,643.56/7,309.21
  6. Step 6: Final answer
    x = 3,465.17

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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.