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Finding the Fourth Proportional to 5,624.72, 7,764.39 and 3,635.44

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Solution

The fourth proportional to 5,624.72, 7,764.39 and 3,635.44 is: 5,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.72 : 7,764.39 = 3,635.44 : x
  2. Step 2: Convert to fraction form
    5,624.72/7,764.39 = 3,635.44/x
  3. Step 3: Cross multiply
    5,624.72x = 7,764.39 × 3,635.44
  4. Step 4: Simplify right side
    5,624.72x = 28,226,973.98
  5. Step 5: Solve for x
    x = 28,226,973.98/5,624.72
  6. Step 6: Final answer
    x = 5,018.38

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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.