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Finding the Fourth Proportional to 16,293.15, 24,428.79 and 6,429.78

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Solution

The fourth proportional to 16,293.15, 24,428.79 and 6,429.78 is: 9,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,293.15 : 24,428.79 = 6,429.78 : x
  2. Step 2: Convert to fraction form
    16,293.15/24,428.79 = 6,429.78/x
  3. Step 3: Cross multiply
    16,293.15x = 24,428.79 × 6,429.78
  4. Step 4: Simplify right side
    16,293.15x = 157,071,745.37
  5. Step 5: Solve for x
    x = 157,071,745.37/16,293.15
  6. Step 6: Final answer
    x = 9,640.35

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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.