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Finding the Fourth Proportional to 7,470.96, 11,208 and 2,540.72

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Solution

The fourth proportional to 7,470.96, 11,208 and 2,540.72 is: 3,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.96 : 11,208 = 2,540.72 : x
  2. Step 2: Convert to fraction form
    7,470.96/11,208 = 2,540.72/x
  3. Step 3: Cross multiply
    7,470.96x = 11,208 × 2,540.72
  4. Step 4: Simplify right side
    7,470.96x = 28,476,389.76
  5. Step 5: Solve for x
    x = 28,476,389.76/7,470.96
  6. Step 6: Final answer
    x = 3,811.61

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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.