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Finding the Fourth Proportional to 10,383.95, 14,329.86 and 7,404.97

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Solution

The fourth proportional to 10,383.95, 14,329.86 and 7,404.97 is: 10,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.95 : 14,329.86 = 7,404.97 : x
  2. Step 2: Convert to fraction form
    10,383.95/14,329.86 = 7,404.97/x
  3. Step 3: Cross multiply
    10,383.95x = 14,329.86 × 7,404.97
  4. Step 4: Simplify right side
    10,383.95x = 106,112,183.40
  5. Step 5: Solve for x
    x = 106,112,183.40/10,383.95
  6. Step 6: Final answer
    x = 10,218.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.