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Finding the Fourth Proportional to 13,319, 18,380.22 and 7,431

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Solution

The fourth proportional to 13,319, 18,380.22 and 7,431 is: 10,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,319 : 18,380.22 = 7,431 : x
  2. Step 2: Convert to fraction form
    13,319/18,380.22 = 7,431/x
  3. Step 3: Cross multiply
    13,319x = 18,380.22 × 7,431
  4. Step 4: Simplify right side
    13,319x = 136,583,414.82
  5. Step 5: Solve for x
    x = 136,583,414.82/13,319
  6. Step 6: Final answer
    x = 10,254.78

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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.