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Finding the Fourth Proportional to 13,383.18, 20,053.71 and 6,800.31

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Solution

The fourth proportional to 13,383.18, 20,053.71 and 6,800.31 is: 10,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.18 : 20,053.71 = 6,800.31 : x
  2. Step 2: Convert to fraction form
    13,383.18/20,053.71 = 6,800.31/x
  3. Step 3: Cross multiply
    13,383.18x = 20,053.71 × 6,800.31
  4. Step 4: Simplify right side
    13,383.18x = 136,371,444.65
  5. Step 5: Solve for x
    x = 136,371,444.65/13,383.18
  6. Step 6: Final answer
    x = 10,189.76

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