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Finding the Fourth Proportional to 18,578.42, 27,871.76 and 8,712.44

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Solution

The fourth proportional to 18,578.42, 27,871.76 and 8,712.44 is: 13,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.42 : 27,871.76 = 8,712.44 : x
  2. Step 2: Convert to fraction form
    18,578.42/27,871.76 = 8,712.44/x
  3. Step 3: Cross multiply
    18,578.42x = 27,871.76 × 8,712.44
  4. Step 4: Simplify right side
    18,578.42x = 242,831,036.69
  5. Step 5: Solve for x
    x = 242,831,036.69/18,578.42
  6. Step 6: Final answer
    x = 13,070.60

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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.