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Finding the Fourth Proportional to 7,425.15, 11,138.48 and 2,746.41

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Solution

The fourth proportional to 7,425.15, 11,138.48 and 2,746.41 is: 4,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425.15 : 11,138.48 = 2,746.41 : x
  2. Step 2: Convert to fraction form
    7,425.15/11,138.48 = 2,746.41/x
  3. Step 3: Cross multiply
    7,425.15x = 11,138.48 × 2,746.41
  4. Step 4: Simplify right side
    7,425.15x = 30,590,819.12
  5. Step 5: Solve for x
    x = 30,590,819.12/7,425.15
  6. Step 6: Final answer
    x = 4,119.89

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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.