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Finding the Fourth Proportional to 5,489.44, 7,578.96 and 4,898.96

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Solution

The fourth proportional to 5,489.44, 7,578.96 and 4,898.96 is: 6,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.44 : 7,578.96 = 4,898.96 : x
  2. Step 2: Convert to fraction form
    5,489.44/7,578.96 = 4,898.96/x
  3. Step 3: Cross multiply
    5,489.44x = 7,578.96 × 4,898.96
  4. Step 4: Simplify right side
    5,489.44x = 37,129,021.88
  5. Step 5: Solve for x
    x = 37,129,021.88/5,489.44
  6. Step 6: Final answer
    x = 6,763.72

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1.5x scale

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.