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Finding the Fourth Proportional to 7,797.60, 11,697.15 and 3,116.49

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Solution

The fourth proportional to 7,797.60, 11,697.15 and 3,116.49 is: 4,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.60 : 11,697.15 = 3,116.49 : x
  2. Step 2: Convert to fraction form
    7,797.60/11,697.15 = 3,116.49/x
  3. Step 3: Cross multiply
    7,797.60x = 11,697.15 × 3,116.49
  4. Step 4: Simplify right side
    7,797.60x = 36,454,035.42
  5. Step 5: Solve for x
    x = 36,454,035.42/7,797.60
  6. Step 6: Final answer
    x = 4,675.04

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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.