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Finding the Fourth Proportional to 31,605.66, 47,408.46 and 9,418.48

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Solution

The fourth proportional to 31,605.66, 47,408.46 and 9,418.48 is: 14,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.66 : 47,408.46 = 9,418.48 : x
  2. Step 2: Convert to fraction form
    31,605.66/47,408.46 = 9,418.48/x
  3. Step 3: Cross multiply
    31,605.66x = 47,408.46 × 9,418.48
  4. Step 4: Simplify right side
    31,605.66x = 446,515,478.50
  5. Step 5: Solve for x
    x = 446,515,478.50/31,605.66
  6. Step 6: Final answer
    x = 14,127.71

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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.