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Finding the Fourth Proportional to 13,891.58, 19,167.42 and 8,228.12

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Solution

The fourth proportional to 13,891.58, 19,167.42 and 8,228.12 is: 11,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.58 : 19,167.42 = 8,228.12 : x
  2. Step 2: Convert to fraction form
    13,891.58/19,167.42 = 8,228.12/x
  3. Step 3: Cross multiply
    13,891.58x = 19,167.42 × 8,228.12
  4. Step 4: Simplify right side
    13,891.58x = 157,711,831.85
  5. Step 5: Solve for x
    x = 157,711,831.85/13,891.58
  6. Step 6: Final answer
    x = 11,353.05

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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.