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Finding the Fourth Proportional to 12,607.63, 18,923.13 and 6,372.05

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Solution

The fourth proportional to 12,607.63, 18,923.13 and 6,372.05 is: 9,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.63 : 18,923.13 = 6,372.05 : x
  2. Step 2: Convert to fraction form
    12,607.63/18,923.13 = 6,372.05/x
  3. Step 3: Cross multiply
    12,607.63x = 18,923.13 × 6,372.05
  4. Step 4: Simplify right side
    12,607.63x = 120,579,035.90
  5. Step 5: Solve for x
    x = 120,579,035.90/12,607.63
  6. Step 6: Final answer
    x = 9,563.98

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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.