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Finding the Fourth Proportional to 8,572.35, 12,859.59 and 4,186.50

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Solution

The fourth proportional to 8,572.35, 12,859.59 and 4,186.50 is: 6,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.35 : 12,859.59 = 4,186.50 : x
  2. Step 2: Convert to fraction form
    8,572.35/12,859.59 = 4,186.50/x
  3. Step 3: Cross multiply
    8,572.35x = 12,859.59 × 4,186.50
  4. Step 4: Simplify right side
    8,572.35x = 53,836,673.54
  5. Step 5: Solve for x
    x = 53,836,673.54/8,572.35
  6. Step 6: Final answer
    x = 6,280.27

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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.