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Finding the Fourth Proportional to 7,115.36, 10,674.12 and 3,416.88

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Solution

The fourth proportional to 7,115.36, 10,674.12 and 3,416.88 is: 5,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.36 : 10,674.12 = 3,416.88 : x
  2. Step 2: Convert to fraction form
    7,115.36/10,674.12 = 3,416.88/x
  3. Step 3: Cross multiply
    7,115.36x = 10,674.12 × 3,416.88
  4. Step 4: Simplify right side
    7,115.36x = 36,472,187.15
  5. Step 5: Solve for x
    x = 36,472,187.15/7,115.36
  6. Step 6: Final answer
    x = 5,125.84

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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.