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Finding the Fourth Proportional to 7,702.60, 11,545.62 and 3,322.12

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Solution

The fourth proportional to 7,702.60, 11,545.62 and 3,322.12 is: 4,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.60 : 11,545.62 = 3,322.12 : x
  2. Step 2: Convert to fraction form
    7,702.60/11,545.62 = 3,322.12/x
  3. Step 3: Cross multiply
    7,702.60x = 11,545.62 × 3,322.12
  4. Step 4: Simplify right side
    7,702.60x = 38,355,935.11
  5. Step 5: Solve for x
    x = 38,355,935.11/7,702.60
  6. Step 6: Final answer
    x = 4,979.61

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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.