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Finding the Fourth Proportional to 13,384, 20,039.04 and 10,087.11

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Solution

The fourth proportional to 13,384, 20,039.04 and 10,087.11 is: 15,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384 : 20,039.04 = 10,087.11 : x
  2. Step 2: Convert to fraction form
    13,384/20,039.04 = 10,087.11/x
  3. Step 3: Cross multiply
    13,384x = 20,039.04 × 10,087.11
  4. Step 4: Simplify right side
    13,384x = 202,136,000.77
  5. Step 5: Solve for x
    x = 202,136,000.77/13,384
  6. Step 6: Final answer
    x = 15,102.81

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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.