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Finding the Fourth Proportional to 12,647.53, 18,966.03 and 4,325.86

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Solution

The fourth proportional to 12,647.53, 18,966.03 and 4,325.86 is: 6,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.53 : 18,966.03 = 4,325.86 : x
  2. Step 2: Convert to fraction form
    12,647.53/18,966.03 = 4,325.86/x
  3. Step 3: Cross multiply
    12,647.53x = 18,966.03 × 4,325.86
  4. Step 4: Simplify right side
    12,647.53x = 82,044,390.54
  5. Step 5: Solve for x
    x = 82,044,390.54/12,647.53
  6. Step 6: Final answer
    x = 6,486.99

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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.