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Finding the Fourth Proportional to 11,824.28, 16,316.81 and 7,347.98

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Solution

The fourth proportional to 11,824.28, 16,316.81 and 7,347.98 is: 10,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.28 : 16,316.81 = 7,347.98 : x
  2. Step 2: Convert to fraction form
    11,824.28/16,316.81 = 7,347.98/x
  3. Step 3: Cross multiply
    11,824.28x = 16,316.81 × 7,347.98
  4. Step 4: Simplify right side
    11,824.28x = 119,895,625.15
  5. Step 5: Solve for x
    x = 119,895,625.15/11,824.28
  6. Step 6: Final answer
    x = 10,139.78

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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.