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Finding the Fourth Proportional to 15,166.85, 22,763.03 and 7,778.43

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Solution

The fourth proportional to 15,166.85, 22,763.03 and 7,778.43 is: 11,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.85 : 22,763.03 = 7,778.43 : x
  2. Step 2: Convert to fraction form
    15,166.85/22,763.03 = 7,778.43/x
  3. Step 3: Cross multiply
    15,166.85x = 22,763.03 × 7,778.43
  4. Step 4: Simplify right side
    15,166.85x = 177,060,596.55
  5. Step 5: Solve for x
    x = 177,060,596.55/15,166.85
  6. Step 6: Final answer
    x = 11,674.19

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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.