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Finding the Fourth Proportional to 5,187.85, 7,784.03 and 2,722.07

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Solution

The fourth proportional to 5,187.85, 7,784.03 and 2,722.07 is: 4,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.85 : 7,784.03 = 2,722.07 : x
  2. Step 2: Convert to fraction form
    5,187.85/7,784.03 = 2,722.07/x
  3. Step 3: Cross multiply
    5,187.85x = 7,784.03 × 2,722.07
  4. Step 4: Simplify right side
    5,187.85x = 21,188,700.81
  5. Step 5: Solve for x
    x = 21,188,700.81/5,187.85
  6. Step 6: Final answer
    x = 4,084.30

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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.