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Finding the Fourth Proportional to 5,107, 7,660.44 and 2,646.64

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Solution

The fourth proportional to 5,107, 7,660.44 and 2,646.64 is: 3,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107 : 7,660.44 = 2,646.64 : x
  2. Step 2: Convert to fraction form
    5,107/7,660.44 = 2,646.64/x
  3. Step 3: Cross multiply
    5,107x = 7,660.44 × 2,646.64
  4. Step 4: Simplify right side
    5,107x = 20,274,426.92
  5. Step 5: Solve for x
    x = 20,274,426.92/5,107
  6. Step 6: Final answer
    x = 3,969.93

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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.