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Finding the Fourth Proportional to 7,301, 10,949.18 and 2,369.50

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Solution

The fourth proportional to 7,301, 10,949.18 and 2,369.50 is: 3,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301 : 10,949.18 = 2,369.50 : x
  2. Step 2: Convert to fraction form
    7,301/10,949.18 = 2,369.50/x
  3. Step 3: Cross multiply
    7,301x = 10,949.18 × 2,369.50
  4. Step 4: Simplify right side
    7,301x = 25,944,082.01
  5. Step 5: Solve for x
    x = 25,944,082.01/7,301
  6. Step 6: Final answer
    x = 3,553.50

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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.