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Finding the Fourth Proportional to 34,728.40, 47,880.66 and 22,771

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Solution

The fourth proportional to 34,728.40, 47,880.66 and 22,771 is: 31,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728.40 : 47,880.66 = 22,771 : x
  2. Step 2: Convert to fraction form
    34,728.40/47,880.66 = 22,771/x
  3. Step 3: Cross multiply
    34,728.40x = 47,880.66 × 22,771
  4. Step 4: Simplify right side
    34,728.40x = 1,090,290,508.86
  5. Step 5: Solve for x
    x = 1,090,290,508.86/34,728.40
  6. Step 6: Final answer
    x = 31,394.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.