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Finding the Fourth Proportional to 31,214.76, 46,818.54 and 7,839.42

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Solution

The fourth proportional to 31,214.76, 46,818.54 and 7,839.42 is: 11,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.76 : 46,818.54 = 7,839.42 : x
  2. Step 2: Convert to fraction form
    31,214.76/46,818.54 = 7,839.42/x
  3. Step 3: Cross multiply
    31,214.76x = 46,818.54 × 7,839.42
  4. Step 4: Simplify right side
    31,214.76x = 367,030,198.85
  5. Step 5: Solve for x
    x = 367,030,198.85/31,214.76
  6. Step 6: Final answer
    x = 11,758.23

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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.