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Finding the Fourth Proportional to 7,492.15, 11,243.24 and 3,109.61

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Solution

The fourth proportional to 7,492.15, 11,243.24 and 3,109.61 is: 4,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.15 : 11,243.24 = 3,109.61 : x
  2. Step 2: Convert to fraction form
    7,492.15/11,243.24 = 3,109.61/x
  3. Step 3: Cross multiply
    7,492.15x = 11,243.24 × 3,109.61
  4. Step 4: Simplify right side
    7,492.15x = 34,962,091.54
  5. Step 5: Solve for x
    x = 34,962,091.54/7,492.15
  6. Step 6: Final answer
    x = 4,666.50

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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.