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Finding the Fourth Proportional to 18,407, 27,599.97 and 8,541.20

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Solution

The fourth proportional to 18,407, 27,599.97 and 8,541.20 is: 12,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407 : 27,599.97 = 8,541.20 : x
  2. Step 2: Convert to fraction form
    18,407/27,599.97 = 8,541.20/x
  3. Step 3: Cross multiply
    18,407x = 27,599.97 × 8,541.20
  4. Step 4: Simplify right side
    18,407x = 235,736,863.76
  5. Step 5: Solve for x
    x = 235,736,863.76/18,407
  6. Step 6: Final answer
    x = 12,806.91

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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.