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Finding the Fourth Proportional to 5,150.84, 7,659.99 and 4,986.81

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Solution

The fourth proportional to 5,150.84, 7,659.99 and 4,986.81 is: 7,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.84 : 7,659.99 = 4,986.81 : x
  2. Step 2: Convert to fraction form
    5,150.84/7,659.99 = 4,986.81/x
  3. Step 3: Cross multiply
    5,150.84x = 7,659.99 × 4,986.81
  4. Step 4: Simplify right side
    5,150.84x = 38,198,914.73
  5. Step 5: Solve for x
    x = 38,198,914.73/5,150.84
  6. Step 6: Final answer
    x = 7,416.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.