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Finding the Fourth Proportional to 31,677.40, 47,486.40 and 11,969.20

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Solution

The fourth proportional to 31,677.40, 47,486.40 and 11,969.20 is: 17,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.40 : 47,486.40 = 11,969.20 : x
  2. Step 2: Convert to fraction form
    31,677.40/47,486.40 = 11,969.20/x
  3. Step 3: Cross multiply
    31,677.40x = 47,486.40 × 11,969.20
  4. Step 4: Simplify right side
    31,677.40x = 568,374,218.88
  5. Step 5: Solve for x
    x = 568,374,218.88/31,677.40
  6. Step 6: Final answer
    x = 17,942.58

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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.