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Finding the Fourth Proportional to 8,560, 12,819.36 and 4,166.56

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Solution

The fourth proportional to 8,560, 12,819.36 and 4,166.56 is: 6,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560 : 12,819.36 = 4,166.56 : x
  2. Step 2: Convert to fraction form
    8,560/12,819.36 = 4,166.56/x
  3. Step 3: Cross multiply
    8,560x = 12,819.36 × 4,166.56
  4. Step 4: Simplify right side
    8,560x = 53,412,632.60
  5. Step 5: Solve for x
    x = 53,412,632.60/8,560
  6. Step 6: Final answer
    x = 6,239.79

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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.