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Finding the Fourth Proportional to 31,843.62, 47,699.76 and 18,655.98

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Solution

The fourth proportional to 31,843.62, 47,699.76 and 18,655.98 is: 27,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.62 : 47,699.76 = 18,655.98 : x
  2. Step 2: Convert to fraction form
    31,843.62/47,699.76 = 18,655.98/x
  3. Step 3: Cross multiply
    31,843.62x = 47,699.76 × 18,655.98
  4. Step 4: Simplify right side
    31,843.62x = 889,885,768.56
  5. Step 5: Solve for x
    x = 889,885,768.56/31,843.62
  6. Step 6: Final answer
    x = 27,945.50

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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.