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Finding the Fourth Proportional to 10,609.92, 15,913.80 and 2,819.34

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Solution

The fourth proportional to 10,609.92, 15,913.80 and 2,819.34 is: 4,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.92 : 15,913.80 = 2,819.34 : x
  2. Step 2: Convert to fraction form
    10,609.92/15,913.80 = 2,819.34/x
  3. Step 3: Cross multiply
    10,609.92x = 15,913.80 × 2,819.34
  4. Step 4: Simplify right side
    10,609.92x = 44,866,412.89
  5. Step 5: Solve for x
    x = 44,866,412.89/10,609.92
  6. Step 6: Final answer
    x = 4,228.72

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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.