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Finding the Fourth Proportional to 18,447, 27,670.22 and 8,580.76

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Solution

The fourth proportional to 18,447, 27,670.22 and 8,580.76 is: 12,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,447 : 27,670.22 = 8,580.76 : x
  2. Step 2: Convert to fraction form
    18,447/27,670.22 = 8,580.76/x
  3. Step 3: Cross multiply
    18,447x = 27,670.22 × 8,580.76
  4. Step 4: Simplify right side
    18,447x = 237,431,516.97
  5. Step 5: Solve for x
    x = 237,431,516.97/18,447
  6. Step 6: Final answer
    x = 12,871.01

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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.