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Finding the Fourth Proportional to 7,702.62, 11,551.50 and 3,318.90

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Solution

The fourth proportional to 7,702.62, 11,551.50 and 3,318.90 is: 4,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.62 : 11,551.50 = 3,318.90 : x
  2. Step 2: Convert to fraction form
    7,702.62/11,551.50 = 3,318.90/x
  3. Step 3: Cross multiply
    7,702.62x = 11,551.50 × 3,318.90
  4. Step 4: Simplify right side
    7,702.62x = 38,338,273.35
  5. Step 5: Solve for x
    x = 38,338,273.35/7,702.62
  6. Step 6: Final answer
    x = 4,977.30

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Why These Related Problems?

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