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Finding the Fourth Proportional to 13,465.71, 20,201.94 and 7,923.69

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Solution

The fourth proportional to 13,465.71, 20,201.94 and 7,923.69 is: 11,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.71 : 20,201.94 = 7,923.69 : x
  2. Step 2: Convert to fraction form
    13,465.71/20,201.94 = 7,923.69/x
  3. Step 3: Cross multiply
    13,465.71x = 20,201.94 × 7,923.69
  4. Step 4: Simplify right side
    13,465.71x = 160,073,909.96
  5. Step 5: Solve for x
    x = 160,073,909.96/13,465.71
  6. Step 6: Final answer
    x = 11,887.52

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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.