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Finding the Fourth Proportional to 18,910.96, 28,368.32 and 7,234

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Solution

The fourth proportional to 18,910.96, 28,368.32 and 7,234 is: 10,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,910.96 : 28,368.32 = 7,234 : x
  2. Step 2: Convert to fraction form
    18,910.96/28,368.32 = 7,234/x
  3. Step 3: Cross multiply
    18,910.96x = 28,368.32 × 7,234
  4. Step 4: Simplify right side
    18,910.96x = 205,216,426.88
  5. Step 5: Solve for x
    x = 205,216,426.88/18,910.96
  6. Step 6: Final answer
    x = 10,851.72

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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.