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Finding the Fourth Proportional to 22,568, 31,143.88 and 13,142.88

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Solution

The fourth proportional to 22,568, 31,143.88 and 13,142.88 is: 18,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568 : 31,143.88 = 13,142.88 : x
  2. Step 2: Convert to fraction form
    22,568/31,143.88 = 13,142.88/x
  3. Step 3: Cross multiply
    22,568x = 31,143.88 × 13,142.88
  4. Step 4: Simplify right side
    22,568x = 409,320,277.57
  5. Step 5: Solve for x
    x = 409,320,277.57/22,568
  6. Step 6: Final answer
    x = 18,137.20

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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.