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Finding the Fourth Proportional to 8,442.24, 12,663.24 and 3,511.84

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Solution

The fourth proportional to 8,442.24, 12,663.24 and 3,511.84 is: 5,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.24 : 12,663.24 = 3,511.84 : x
  2. Step 2: Convert to fraction form
    8,442.24/12,663.24 = 3,511.84/x
  3. Step 3: Cross multiply
    8,442.24x = 12,663.24 × 3,511.84
  4. Step 4: Simplify right side
    8,442.24x = 44,471,272.76
  5. Step 5: Solve for x
    x = 44,471,272.76/8,442.24
  6. Step 6: Final answer
    x = 5,267.71

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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.