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Finding the Fourth Proportional to 11,439, 17,159.13 and 3,647.34

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Solution

The fourth proportional to 11,439, 17,159.13 and 3,647.34 is: 5,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439 : 17,159.13 = 3,647.34 : x
  2. Step 2: Convert to fraction form
    11,439/17,159.13 = 3,647.34/x
  3. Step 3: Cross multiply
    11,439x = 17,159.13 × 3,647.34
  4. Step 4: Simplify right side
    11,439x = 62,585,181.21
  5. Step 5: Solve for x
    x = 62,585,181.21/11,439
  6. Step 6: Final answer
    x = 5,471.21

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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.