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Finding the Fourth Proportional to 18,551.74, 27,836.74 and 8,689.31

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Solution

The fourth proportional to 18,551.74, 27,836.74 and 8,689.31 is: 13,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551.74 : 27,836.74 = 8,689.31 : x
  2. Step 2: Convert to fraction form
    18,551.74/27,836.74 = 8,689.31/x
  3. Step 3: Cross multiply
    18,551.74x = 27,836.74 × 8,689.31
  4. Step 4: Simplify right side
    18,551.74x = 241,882,063.25
  5. Step 5: Solve for x
    x = 241,882,063.25/18,551.74
  6. Step 6: Final answer
    x = 13,038.24

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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.