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Finding the Fourth Proportional to 5,179.76, 7,768.20 and 2,259.44

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Solution

The fourth proportional to 5,179.76, 7,768.20 and 2,259.44 is: 3,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.76 : 7,768.20 = 2,259.44 : x
  2. Step 2: Convert to fraction form
    5,179.76/7,768.20 = 2,259.44/x
  3. Step 3: Cross multiply
    5,179.76x = 7,768.20 × 2,259.44
  4. Step 4: Simplify right side
    5,179.76x = 17,551,781.81
  5. Step 5: Solve for x
    x = 17,551,781.81/5,179.76
  6. Step 6: Final answer
    x = 3,388.53

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1.5x scale

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.