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Finding the Fourth Proportional to 22,882.79, 31,578.09 and 12,811.19

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Solution

The fourth proportional to 22,882.79, 31,578.09 and 12,811.19 is: 17,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.79 : 31,578.09 = 12,811.19 : x
  2. Step 2: Convert to fraction form
    22,882.79/31,578.09 = 12,811.19/x
  3. Step 3: Cross multiply
    22,882.79x = 31,578.09 × 12,811.19
  4. Step 4: Simplify right side
    22,882.79x = 404,552,752.94
  5. Step 5: Solve for x
    x = 404,552,752.94/22,882.79
  6. Step 6: Final answer
    x = 17,679.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.