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Finding the Fourth Proportional to 9,819.76, 14,728.20 and 2,893.36

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Solution

The fourth proportional to 9,819.76, 14,728.20 and 2,893.36 is: 4,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.76 : 14,728.20 = 2,893.36 : x
  2. Step 2: Convert to fraction form
    9,819.76/14,728.20 = 2,893.36/x
  3. Step 3: Cross multiply
    9,819.76x = 14,728.20 × 2,893.36
  4. Step 4: Simplify right side
    9,819.76x = 42,613,984.75
  5. Step 5: Solve for x
    x = 42,613,984.75/9,819.76
  6. Step 6: Final answer
    x = 4,339.62

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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.