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Finding the Fourth Proportional to 6,884.16, 9,496.80 and 4,087.68

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Solution

The fourth proportional to 6,884.16, 9,496.80 and 4,087.68 is: 5,639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.16 : 9,496.80 = 4,087.68 : x
  2. Step 2: Convert to fraction form
    6,884.16/9,496.80 = 4,087.68/x
  3. Step 3: Cross multiply
    6,884.16x = 9,496.80 × 4,087.68
  4. Step 4: Simplify right side
    6,884.16x = 38,819,879.42
  5. Step 5: Solve for x
    x = 38,819,879.42/6,884.16
  6. Step 6: Final answer
    x = 5,639.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.