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Finding the Fourth Proportional to 31,908.53, 47,859.15 and 8,536.79

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Solution

The fourth proportional to 31,908.53, 47,859.15 and 8,536.79 is: 12,804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.53 : 47,859.15 = 8,536.79 : x
  2. Step 2: Convert to fraction form
    31,908.53/47,859.15 = 8,536.79/x
  3. Step 3: Cross multiply
    31,908.53x = 47,859.15 × 8,536.79
  4. Step 4: Simplify right side
    31,908.53x = 408,563,273.83
  5. Step 5: Solve for x
    x = 408,563,273.83/31,908.53
  6. Step 6: Final answer
    x = 12,804.20

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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.