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Finding the Fourth Proportional to 10,180.71, 15,267.39 and 7,993.71

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Solution

The fourth proportional to 10,180.71, 15,267.39 and 7,993.71 is: 11,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.71 : 15,267.39 = 7,993.71 : x
  2. Step 2: Convert to fraction form
    10,180.71/15,267.39 = 7,993.71/x
  3. Step 3: Cross multiply
    10,180.71x = 15,267.39 × 7,993.71
  4. Step 4: Simplify right side
    10,180.71x = 122,043,088.12
  5. Step 5: Solve for x
    x = 122,043,088.12/10,180.71
  6. Step 6: Final answer
    x = 11,987.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.