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Finding the Fourth Proportional to 31,473.94, 47,221.84 and 13,956.06

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Solution

The fourth proportional to 31,473.94, 47,221.84 and 13,956.06 is: 20,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473.94 : 47,221.84 = 13,956.06 : x
  2. Step 2: Convert to fraction form
    31,473.94/47,221.84 = 13,956.06/x
  3. Step 3: Cross multiply
    31,473.94x = 47,221.84 × 13,956.06
  4. Step 4: Simplify right side
    31,473.94x = 659,030,832.35
  5. Step 5: Solve for x
    x = 659,030,832.35/31,473.94
  6. Step 6: Final answer
    x = 20,938.94

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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.