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Finding the Fourth Proportional to 13,288.78, 19,933.08 and 7,369.30

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Solution

The fourth proportional to 13,288.78, 19,933.08 and 7,369.30 is: 11,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288.78 : 19,933.08 = 7,369.30 : x
  2. Step 2: Convert to fraction form
    13,288.78/19,933.08 = 7,369.30/x
  3. Step 3: Cross multiply
    13,288.78x = 19,933.08 × 7,369.30
  4. Step 4: Simplify right side
    13,288.78x = 146,892,846.44
  5. Step 5: Solve for x
    x = 146,892,846.44/13,288.78
  6. Step 6: Final answer
    x = 11,053.90

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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.