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Finding the Fourth Proportional to 31,817.14, 47,747.04 and 14,288.20

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Solution

The fourth proportional to 31,817.14, 47,747.04 and 14,288.20 is: 21,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.14 : 47,747.04 = 14,288.20 : x
  2. Step 2: Convert to fraction form
    31,817.14/47,747.04 = 14,288.20/x
  3. Step 3: Cross multiply
    31,817.14x = 47,747.04 × 14,288.20
  4. Step 4: Simplify right side
    31,817.14x = 682,219,256.93
  5. Step 5: Solve for x
    x = 682,219,256.93/31,817.14
  6. Step 6: Final answer
    x = 21,441.88

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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.