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Finding the Fourth Proportional to 31,294.79, 46,942.22 and 7,921.22

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Solution

The fourth proportional to 31,294.79, 46,942.22 and 7,921.22 is: 11,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.79 : 46,942.22 = 7,921.22 : x
  2. Step 2: Convert to fraction form
    31,294.79/46,942.22 = 7,921.22/x
  3. Step 3: Cross multiply
    31,294.79x = 46,942.22 × 7,921.22
  4. Step 4: Simplify right side
    31,294.79x = 371,839,729.66
  5. Step 5: Solve for x
    x = 371,839,729.66/31,294.79
  6. Step 6: Final answer
    x = 11,881.84

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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.