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Finding the Fourth Proportional to 31,144.73, 46,719.80 and 8,959.91

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Solution

The fourth proportional to 31,144.73, 46,719.80 and 8,959.91 is: 13,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.73 : 46,719.80 = 8,959.91 : x
  2. Step 2: Convert to fraction form
    31,144.73/46,719.80 = 8,959.91/x
  3. Step 3: Cross multiply
    31,144.73x = 46,719.80 × 8,959.91
  4. Step 4: Simplify right side
    31,144.73x = 418,605,203.22
  5. Step 5: Solve for x
    x = 418,605,203.22/31,144.73
  6. Step 6: Final answer
    x = 13,440.64

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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.