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Finding the Fourth Proportional to 18,568.36, 27,862.62 and 12,313

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Solution

The fourth proportional to 18,568.36, 27,862.62 and 12,313 is: 18,476.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,568.36 : 27,862.62 = 12,313 : x
  2. Step 2: Convert to fraction form
    18,568.36/27,862.62 = 12,313/x
  3. Step 3: Cross multiply
    18,568.36x = 27,862.62 × 12,313
  4. Step 4: Simplify right side
    18,568.36x = 343,072,440.06
  5. Step 5: Solve for x
    x = 343,072,440.06/18,568.36
  6. Step 6: Final answer
    x = 18,476.18

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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.