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Finding the Fourth Proportional to 13,164.78, 18,167.70 and 7,196.70

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Solution

The fourth proportional to 13,164.78, 18,167.70 and 7,196.70 is: 9,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.78 : 18,167.70 = 7,196.70 : x
  2. Step 2: Convert to fraction form
    13,164.78/18,167.70 = 7,196.70/x
  3. Step 3: Cross multiply
    13,164.78x = 18,167.70 × 7,196.70
  4. Step 4: Simplify right side
    13,164.78x = 130,747,486.59
  5. Step 5: Solve for x
    x = 130,747,486.59/13,164.78
  6. Step 6: Final answer
    x = 9,931.61

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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.