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Finding the Fourth Proportional to 5,119.79, 7,672.98 and 4,991

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Solution

The fourth proportional to 5,119.79, 7,672.98 and 4,991 is: 7,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.79 : 7,672.98 = 4,991 : x
  2. Step 2: Convert to fraction form
    5,119.79/7,672.98 = 4,991/x
  3. Step 3: Cross multiply
    5,119.79x = 7,672.98 × 4,991
  4. Step 4: Simplify right side
    5,119.79x = 38,295,843.18
  5. Step 5: Solve for x
    x = 38,295,843.18/5,119.79
  6. Step 6: Final answer
    x = 7,479.96

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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.