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Finding the Fourth Proportional to 8,511.98, 12,772.97 and 3,581.24

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Solution

The fourth proportional to 8,511.98, 12,772.97 and 3,581.24 is: 5,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.98 : 12,772.97 = 3,581.24 : x
  2. Step 2: Convert to fraction form
    8,511.98/12,772.97 = 3,581.24/x
  3. Step 3: Cross multiply
    8,511.98x = 12,772.97 × 3,581.24
  4. Step 4: Simplify right side
    8,511.98x = 45,742,989.31
  5. Step 5: Solve for x
    x = 45,742,989.31/8,511.98
  6. Step 6: Final answer
    x = 5,373.96

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1.5x scale

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.