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Finding the Fourth Proportional to 8,572.16, 12,849.45 and 4,184.21

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Solution

The fourth proportional to 8,572.16, 12,849.45 and 4,184.21 is: 6,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.16 : 12,849.45 = 4,184.21 : x
  2. Step 2: Convert to fraction form
    8,572.16/12,849.45 = 4,184.21/x
  3. Step 3: Cross multiply
    8,572.16x = 12,849.45 × 4,184.21
  4. Step 4: Simplify right side
    8,572.16x = 53,764,797.18
  5. Step 5: Solve for x
    x = 53,764,797.18/8,572.16
  6. Step 6: Final answer
    x = 6,272.02

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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.