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Finding the Fourth Proportional to 13,196.74, 18,206.97 and 7,527.39

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Solution

The fourth proportional to 13,196.74, 18,206.97 and 7,527.39 is: 10,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.74 : 18,206.97 = 7,527.39 : x
  2. Step 2: Convert to fraction form
    13,196.74/18,206.97 = 7,527.39/x
  3. Step 3: Cross multiply
    13,196.74x = 18,206.97 × 7,527.39
  4. Step 4: Simplify right side
    13,196.74x = 137,050,963.91
  5. Step 5: Solve for x
    x = 137,050,963.91/13,196.74
  6. Step 6: Final answer
    x = 10,385.21

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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.