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Finding the Fourth Proportional to 31,671, 47,507.11 and 11,958.84

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Solution

The fourth proportional to 31,671, 47,507.11 and 11,958.84 is: 17,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671 : 47,507.11 = 11,958.84 : x
  2. Step 2: Convert to fraction form
    31,671/47,507.11 = 11,958.84/x
  3. Step 3: Cross multiply
    31,671x = 47,507.11 × 11,958.84
  4. Step 4: Simplify right side
    31,671x = 568,129,897.46
  5. Step 5: Solve for x
    x = 568,129,897.46/31,671
  6. Step 6: Final answer
    x = 17,938.49

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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.