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Finding the Fourth Proportional to 9,289.62, 12,819.88 and 5,097.88

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Solution

The fourth proportional to 9,289.62, 12,819.88 and 5,097.88 is: 7,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.62 : 12,819.88 = 5,097.88 : x
  2. Step 2: Convert to fraction form
    9,289.62/12,819.88 = 5,097.88/x
  3. Step 3: Cross multiply
    9,289.62x = 12,819.88 × 5,097.88
  4. Step 4: Simplify right side
    9,289.62x = 65,354,209.85
  5. Step 5: Solve for x
    x = 65,354,209.85/9,289.62
  6. Step 6: Final answer
    x = 7,035.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.