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Finding the Fourth Proportional to 12,602.78, 18,905.22 and 3,837.77

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Solution

The fourth proportional to 12,602.78, 18,905.22 and 3,837.77 is: 5,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.78 : 18,905.22 = 3,837.77 : x
  2. Step 2: Convert to fraction form
    12,602.78/18,905.22 = 3,837.77/x
  3. Step 3: Cross multiply
    12,602.78x = 18,905.22 × 3,837.77
  4. Step 4: Simplify right side
    12,602.78x = 72,553,886.16
  5. Step 5: Solve for x
    x = 72,553,886.16/12,602.78
  6. Step 6: Final answer
    x = 5,756.97

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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.