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Finding the Fourth Proportional to 11,702.40, 16,149.24 and 6,666.83

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Solution

The fourth proportional to 11,702.40, 16,149.24 and 6,666.83 is: 9,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.40 : 16,149.24 = 6,666.83 : x
  2. Step 2: Convert to fraction form
    11,702.40/16,149.24 = 6,666.83/x
  3. Step 3: Cross multiply
    11,702.40x = 16,149.24 × 6,666.83
  4. Step 4: Simplify right side
    11,702.40x = 107,664,217.52
  5. Step 5: Solve for x
    x = 107,664,217.52/11,702.40
  6. Step 6: Final answer
    x = 9,200.19

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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.