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Finding the Fourth Proportional to 18,835.40, 28,242 and 7,149.44

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Solution

The fourth proportional to 18,835.40, 28,242 and 7,149.44 is: 10,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,835.40 : 28,242 = 7,149.44 : x
  2. Step 2: Convert to fraction form
    18,835.40/28,242 = 7,149.44/x
  3. Step 3: Cross multiply
    18,835.40x = 28,242 × 7,149.44
  4. Step 4: Simplify right side
    18,835.40x = 201,914,484.48
  5. Step 5: Solve for x
    x = 201,914,484.48/18,835.40
  6. Step 6: Final answer
    x = 10,719.95

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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.