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Finding the Fourth Proportional to 31,793.42, 47,690.40 and 12,066.68

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Solution

The fourth proportional to 31,793.42, 47,690.40 and 12,066.68 is: 18,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.42 : 47,690.40 = 12,066.68 : x
  2. Step 2: Convert to fraction form
    31,793.42/47,690.40 = 12,066.68/x
  3. Step 3: Cross multiply
    31,793.42x = 47,690.40 × 12,066.68
  4. Step 4: Simplify right side
    31,793.42x = 575,464,795.87
  5. Step 5: Solve for x
    x = 575,464,795.87/31,793.42
  6. Step 6: Final answer
    x = 18,100.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.