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Finding the Fourth Proportional to 5,478, 7,559.76 and 2,994

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Solution

The fourth proportional to 5,478, 7,559.76 and 2,994 is: 4,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478 : 7,559.76 = 2,994 : x
  2. Step 2: Convert to fraction form
    5,478/7,559.76 = 2,994/x
  3. Step 3: Cross multiply
    5,478x = 7,559.76 × 2,994
  4. Step 4: Simplify right side
    5,478x = 22,633,921.44
  5. Step 5: Solve for x
    x = 22,633,921.44/5,478
  6. Step 6: Final answer
    x = 4,131.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.