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Finding the Fourth Proportional to 5,158.72, 7,729.12 and 3,212.32

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Solution

The fourth proportional to 5,158.72, 7,729.12 and 3,212.32 is: 4,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.72 : 7,729.12 = 3,212.32 : x
  2. Step 2: Convert to fraction form
    5,158.72/7,729.12 = 3,212.32/x
  3. Step 3: Cross multiply
    5,158.72x = 7,729.12 × 3,212.32
  4. Step 4: Simplify right side
    5,158.72x = 24,828,406.76
  5. Step 5: Solve for x
    x = 24,828,406.76/5,158.72
  6. Step 6: Final answer
    x = 4,812.90

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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.