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Finding the Fourth Proportional to 12,602, 18,903.78 and 3,837.56

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Solution

The fourth proportional to 12,602, 18,903.78 and 3,837.56 is: 5,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602 : 18,903.78 = 3,837.56 : x
  2. Step 2: Convert to fraction form
    12,602/18,903.78 = 3,837.56/x
  3. Step 3: Cross multiply
    12,602x = 18,903.78 × 3,837.56
  4. Step 4: Simplify right side
    12,602x = 72,544,389.98
  5. Step 5: Solve for x
    x = 72,544,389.98/12,602
  6. Step 6: Final answer
    x = 5,756.58

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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.