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Finding the Fourth Proportional to 30,467.92, 45,702.86 and 8,281.24

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Solution

The fourth proportional to 30,467.92, 45,702.86 and 8,281.24 is: 12,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,467.92 : 45,702.86 = 8,281.24 : x
  2. Step 2: Convert to fraction form
    30,467.92/45,702.86 = 8,281.24/x
  3. Step 3: Cross multiply
    30,467.92x = 45,702.86 × 8,281.24
  4. Step 4: Simplify right side
    30,467.92x = 378,476,352.35
  5. Step 5: Solve for x
    x = 378,476,352.35/30,467.92
  6. Step 6: Final answer
    x = 12,422.13

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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.