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Finding the Fourth Proportional to 12,652.53, 18,982.73 and 4,755.75

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Solution

The fourth proportional to 12,652.53, 18,982.73 and 4,755.75 is: 7,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.53 : 18,982.73 = 4,755.75 : x
  2. Step 2: Convert to fraction form
    12,652.53/18,982.73 = 4,755.75/x
  3. Step 3: Cross multiply
    12,652.53x = 18,982.73 × 4,755.75
  4. Step 4: Simplify right side
    12,652.53x = 90,277,094.42
  5. Step 5: Solve for x
    x = 90,277,094.42/12,652.53
  6. Step 6: Final answer
    x = 7,135.10

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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.