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Finding the Fourth Proportional to 7,253.12, 10,871.84 and 5,194.88

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Solution

The fourth proportional to 7,253.12, 10,871.84 and 5,194.88 is: 7,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.12 : 10,871.84 = 5,194.88 : x
  2. Step 2: Convert to fraction form
    7,253.12/10,871.84 = 5,194.88/x
  3. Step 3: Cross multiply
    7,253.12x = 10,871.84 × 5,194.88
  4. Step 4: Simplify right side
    7,253.12x = 56,477,904.18
  5. Step 5: Solve for x
    x = 56,477,904.18/7,253.12
  6. Step 6: Final answer
    x = 7,786.70

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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.