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Finding the Fourth Proportional to 31,380.08, 47,069.48 and 8,006

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Solution

The fourth proportional to 31,380.08, 47,069.48 and 8,006 is: 12,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380.08 : 47,069.48 = 8,006 : x
  2. Step 2: Convert to fraction form
    31,380.08/47,069.48 = 8,006/x
  3. Step 3: Cross multiply
    31,380.08x = 47,069.48 × 8,006
  4. Step 4: Simplify right side
    31,380.08x = 376,838,256.88
  5. Step 5: Solve for x
    x = 376,838,256.88/31,380.08
  6. Step 6: Final answer
    x = 12,008.84

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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.