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Finding the Fourth Proportional to 30,916.68, 46,376.81 and 8,728.19

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Solution

The fourth proportional to 30,916.68, 46,376.81 and 8,728.19 is: 13,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.68 : 46,376.81 = 8,728.19 : x
  2. Step 2: Convert to fraction form
    30,916.68/46,376.81 = 8,728.19/x
  3. Step 3: Cross multiply
    30,916.68x = 46,376.81 × 8,728.19
  4. Step 4: Simplify right side
    30,916.68x = 404,785,761.37
  5. Step 5: Solve for x
    x = 404,785,761.37/30,916.68
  6. Step 6: Final answer
    x = 13,092.80

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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.