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Finding the Fourth Proportional to 39,991.76, 59,921.96 and 13,682.16

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Solution

The fourth proportional to 39,991.76, 59,921.96 and 13,682.16 is: 20,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,991.76 : 59,921.96 = 13,682.16 : x
  2. Step 2: Convert to fraction form
    39,991.76/59,921.96 = 13,682.16/x
  3. Step 3: Cross multiply
    39,991.76x = 59,921.96 × 13,682.16
  4. Step 4: Simplify right side
    39,991.76x = 819,861,844.23
  5. Step 5: Solve for x
    x = 819,861,844.23/39,991.76
  6. Step 6: Final answer
    x = 20,500.77

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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.