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Finding the Fourth Proportional to 8,572.08, 12,822.56 and 8,047.20

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Solution

The fourth proportional to 8,572.08, 12,822.56 and 8,047.20 is: 12,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.08 : 12,822.56 = 8,047.20 : x
  2. Step 2: Convert to fraction form
    8,572.08/12,822.56 = 8,047.20/x
  3. Step 3: Cross multiply
    8,572.08x = 12,822.56 × 8,047.20
  4. Step 4: Simplify right side
    8,572.08x = 103,185,704.83
  5. Step 5: Solve for x
    x = 103,185,704.83/8,572.08
  6. Step 6: Final answer
    x = 12,037.42

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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.