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Finding the Fourth Proportional to 31,998.66, 47,999.10 and 8,625.66

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Solution

The fourth proportional to 31,998.66, 47,999.10 and 8,625.66 is: 12,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.66 : 47,999.10 = 8,625.66 : x
  2. Step 2: Convert to fraction form
    31,998.66/47,999.10 = 8,625.66/x
  3. Step 3: Cross multiply
    31,998.66x = 47,999.10 × 8,625.66
  4. Step 4: Simplify right side
    31,998.66x = 414,023,916.91
  5. Step 5: Solve for x
    x = 414,023,916.91/31,998.66
  6. Step 6: Final answer
    x = 12,938.79

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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.