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Finding the Fourth Proportional to 13,079, 18,049.20 and 7,490

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Solution

The fourth proportional to 13,079, 18,049.20 and 7,490 is: 10,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,079 : 18,049.20 = 7,490 : x
  2. Step 2: Convert to fraction form
    13,079/18,049.20 = 7,490/x
  3. Step 3: Cross multiply
    13,079x = 18,049.20 × 7,490
  4. Step 4: Simplify right side
    13,079x = 135,188,508
  5. Step 5: Solve for x
    x = 135,188,508/13,079
  6. Step 6: Final answer
    x = 10,336.30

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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.