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Finding the Fourth Proportional to 31,278.36, 46,919.81 and 8,792.36

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Solution

The fourth proportional to 31,278.36, 46,919.81 and 8,792.36 is: 13,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,278.36 : 46,919.81 = 8,792.36 : x
  2. Step 2: Convert to fraction form
    31,278.36/46,919.81 = 8,792.36/x
  3. Step 3: Cross multiply
    31,278.36x = 46,919.81 × 8,792.36
  4. Step 4: Simplify right side
    31,278.36x = 412,535,860.65
  5. Step 5: Solve for x
    x = 412,535,860.65/31,278.36
  6. Step 6: Final answer
    x = 13,189.18

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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.