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Finding the Fourth Proportional to 7,766.16, 11,639.50 and 6,116.18

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Solution

The fourth proportional to 7,766.16, 11,639.50 and 6,116.18 is: 9,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.16 : 11,639.50 = 6,116.18 : x
  2. Step 2: Convert to fraction form
    7,766.16/11,639.50 = 6,116.18/x
  3. Step 3: Cross multiply
    7,766.16x = 11,639.50 × 6,116.18
  4. Step 4: Simplify right side
    7,766.16x = 71,189,277.11
  5. Step 5: Solve for x
    x = 71,189,277.11/7,766.16
  6. Step 6: Final answer
    x = 9,166.60

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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.