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Finding the Fourth Proportional to 6,431.42, 9,632 and 3,134.18

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Solution

The fourth proportional to 6,431.42, 9,632 and 3,134.18 is: 4,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.42 : 9,632 = 3,134.18 : x
  2. Step 2: Convert to fraction form
    6,431.42/9,632 = 3,134.18/x
  3. Step 3: Cross multiply
    6,431.42x = 9,632 × 3,134.18
  4. Step 4: Simplify right side
    6,431.42x = 30,188,421.76
  5. Step 5: Solve for x
    x = 30,188,421.76/6,431.42
  6. Step 6: Final answer
    x = 4,693.90

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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.