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Finding the Fourth Proportional to 10,963.14, 16,423.98 and 5,409.98

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Solution

The fourth proportional to 10,963.14, 16,423.98 and 5,409.98 is: 8,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.14 : 16,423.98 = 5,409.98 : x
  2. Step 2: Convert to fraction form
    10,963.14/16,423.98 = 5,409.98/x
  3. Step 3: Cross multiply
    10,963.14x = 16,423.98 × 5,409.98
  4. Step 4: Simplify right side
    10,963.14x = 88,853,403.32
  5. Step 5: Solve for x
    x = 88,853,403.32/10,963.14
  6. Step 6: Final answer
    x = 8,104.74

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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.