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Finding the Fourth Proportional to 13,171, 18,171.38 and 7,505.08

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Solution

The fourth proportional to 13,171, 18,171.38 and 7,505.08 is: 10,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171 : 18,171.38 = 7,505.08 : x
  2. Step 2: Convert to fraction form
    13,171/18,171.38 = 7,505.08/x
  3. Step 3: Cross multiply
    13,171x = 18,171.38 × 7,505.08
  4. Step 4: Simplify right side
    13,171x = 136,377,660.61
  5. Step 5: Solve for x
    x = 136,377,660.61/13,171
  6. Step 6: Final answer
    x = 10,354.39

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1.5x scale

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.