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Finding the Fourth Proportional to 31,107.40, 46,662.90 and 8,922.40

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Solution

The fourth proportional to 31,107.40, 46,662.90 and 8,922.40 is: 13,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.40 : 46,662.90 = 8,922.40 : x
  2. Step 2: Convert to fraction form
    31,107.40/46,662.90 = 8,922.40/x
  3. Step 3: Cross multiply
    31,107.40x = 46,662.90 × 8,922.40
  4. Step 4: Simplify right side
    31,107.40x = 416,345,058.96
  5. Step 5: Solve for x
    x = 416,345,058.96/31,107.40
  6. Step 6: Final answer
    x = 13,384.12

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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.