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Finding the Fourth Proportional to 8,725, 13,078.86 and 4,099.72

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Solution

The fourth proportional to 8,725, 13,078.86 and 4,099.72 is: 6,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725 : 13,078.86 = 4,099.72 : x
  2. Step 2: Convert to fraction form
    8,725/13,078.86 = 4,099.72/x
  3. Step 3: Cross multiply
    8,725x = 13,078.86 × 4,099.72
  4. Step 4: Simplify right side
    8,725x = 53,619,663.92
  5. Step 5: Solve for x
    x = 53,619,663.92/8,725
  6. Step 6: Final answer
    x = 6,145.52

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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.