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Finding the Fourth Proportional to 31,670.85, 47,507.81 and 8,297.31

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Solution

The fourth proportional to 31,670.85, 47,507.81 and 8,297.31 is: 12,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670.85 : 47,507.81 = 8,297.31 : x
  2. Step 2: Convert to fraction form
    31,670.85/47,507.81 = 8,297.31/x
  3. Step 3: Cross multiply
    31,670.85x = 47,507.81 × 8,297.31
  4. Step 4: Simplify right side
    31,670.85x = 394,186,985.50
  5. Step 5: Solve for x
    x = 394,186,985.50/31,670.85
  6. Step 6: Final answer
    x = 12,446.37

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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.