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Finding the Fourth Proportional to 31,994.84, 47,986.80 and 8,615.81

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Solution

The fourth proportional to 31,994.84, 47,986.80 and 8,615.81 is: 12,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.84 : 47,986.80 = 8,615.81 : x
  2. Step 2: Convert to fraction form
    31,994.84/47,986.80 = 8,615.81/x
  3. Step 3: Cross multiply
    31,994.84x = 47,986.80 × 8,615.81
  4. Step 4: Simplify right side
    31,994.84x = 413,445,238.97
  5. Step 5: Solve for x
    x = 413,445,238.97/31,994.84
  6. Step 6: Final answer
    x = 12,922.25

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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.