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Finding the Fourth Proportional to 13,317.26, 18,377.86 and 7,349

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Solution

The fourth proportional to 13,317.26, 18,377.86 and 7,349 is: 10,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,317.26 : 18,377.86 = 7,349 : x
  2. Step 2: Convert to fraction form
    13,317.26/18,377.86 = 7,349/x
  3. Step 3: Cross multiply
    13,317.26x = 18,377.86 × 7,349
  4. Step 4: Simplify right side
    13,317.26x = 135,058,893.14
  5. Step 5: Solve for x
    x = 135,058,893.14/13,317.26
  6. Step 6: Final answer
    x = 10,141.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.