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Finding the Fourth Proportional to 8,429.71, 11,632.12 and 4,892.24

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Solution

The fourth proportional to 8,429.71, 11,632.12 and 4,892.24 is: 6,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.71 : 11,632.12 = 4,892.24 : x
  2. Step 2: Convert to fraction form
    8,429.71/11,632.12 = 4,892.24/x
  3. Step 3: Cross multiply
    8,429.71x = 11,632.12 × 4,892.24
  4. Step 4: Simplify right side
    8,429.71x = 56,907,122.75
  5. Step 5: Solve for x
    x = 56,907,122.75/8,429.71
  6. Step 6: Final answer
    x = 6,750.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.