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Finding the Fourth Proportional to 13,100, 18,077.97 and 7,131.71

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Solution

The fourth proportional to 13,100, 18,077.97 and 7,131.71 is: 9,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100 : 18,077.97 = 7,131.71 : x
  2. Step 2: Convert to fraction form
    13,100/18,077.97 = 7,131.71/x
  3. Step 3: Cross multiply
    13,100x = 18,077.97 × 7,131.71
  4. Step 4: Simplify right side
    13,100x = 128,926,839.43
  5. Step 5: Solve for x
    x = 128,926,839.43/13,100
  6. Step 6: Final answer
    x = 9,841.74

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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.