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Finding the Fourth Proportional to 18,977.34, 28,469.06 and 7,132.02

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Solution

The fourth proportional to 18,977.34, 28,469.06 and 7,132.02 is: 10,699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,977.34 : 28,469.06 = 7,132.02 : x
  2. Step 2: Convert to fraction form
    18,977.34/28,469.06 = 7,132.02/x
  3. Step 3: Cross multiply
    18,977.34x = 28,469.06 × 7,132.02
  4. Step 4: Simplify right side
    18,977.34x = 203,041,905.30
  5. Step 5: Solve for x
    x = 203,041,905.30/18,977.34
  6. Step 6: Final answer
    x = 10,699.18

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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.