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Finding the Fourth Proportional to 5,152.21, 7,722 and 2,950.22

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Solution

The fourth proportional to 5,152.21, 7,722 and 2,950.22 is: 4,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.21 : 7,722 = 2,950.22 : x
  2. Step 2: Convert to fraction form
    5,152.21/7,722 = 2,950.22/x
  3. Step 3: Cross multiply
    5,152.21x = 7,722 × 2,950.22
  4. Step 4: Simplify right side
    5,152.21x = 22,781,618.15
  5. Step 5: Solve for x
    x = 22,781,618.15/5,152.21
  6. Step 6: Final answer
    x = 4,421.72

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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.