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Finding the Fourth Proportional to 32,015.35, 48,021.78 and 8,642.38

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Solution

The fourth proportional to 32,015.35, 48,021.78 and 8,642.38 is: 12,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.35 : 48,021.78 = 8,642.38 : x
  2. Step 2: Convert to fraction form
    32,015.35/48,021.78 = 8,642.38/x
  3. Step 3: Cross multiply
    32,015.35x = 48,021.78 × 8,642.38
  4. Step 4: Simplify right side
    32,015.35x = 415,022,471.04
  5. Step 5: Solve for x
    x = 415,022,471.04/32,015.35
  6. Step 6: Final answer
    x = 12,963.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.