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Finding the Fourth Proportional to 12,603.74, 18,900.14 and 3,836.64

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Solution

The fourth proportional to 12,603.74, 18,900.14 and 3,836.64 is: 5,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.74 : 18,900.14 = 3,836.64 : x
  2. Step 2: Convert to fraction form
    12,603.74/18,900.14 = 3,836.64/x
  3. Step 3: Cross multiply
    12,603.74x = 18,900.14 × 3,836.64
  4. Step 4: Simplify right side
    12,603.74x = 72,513,033.13
  5. Step 5: Solve for x
    x = 72,513,033.13/12,603.74
  6. Step 6: Final answer
    x = 5,753.29

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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.