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Finding the Fourth Proportional to 31,107.75, 46,647.90 and 8,916.09

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Solution

The fourth proportional to 31,107.75, 46,647.90 and 8,916.09 is: 13,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.75 : 46,647.90 = 8,916.09 : x
  2. Step 2: Convert to fraction form
    31,107.75/46,647.90 = 8,916.09/x
  3. Step 3: Cross multiply
    31,107.75x = 46,647.90 × 8,916.09
  4. Step 4: Simplify right side
    31,107.75x = 415,916,874.71
  5. Step 5: Solve for x
    x = 415,916,874.71/31,107.75
  6. Step 6: Final answer
    x = 13,370.20

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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.