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Finding the Fourth Proportional to 31,145.56, 46,717.14 and 8,958.88

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Solution

The fourth proportional to 31,145.56, 46,717.14 and 8,958.88 is: 13,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.56 : 46,717.14 = 8,958.88 : x
  2. Step 2: Convert to fraction form
    31,145.56/46,717.14 = 8,958.88/x
  3. Step 3: Cross multiply
    31,145.56x = 46,717.14 × 8,958.88
  4. Step 4: Simplify right side
    31,145.56x = 418,533,251.20
  5. Step 5: Solve for x
    x = 418,533,251.20/31,145.56
  6. Step 6: Final answer
    x = 13,437.97

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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.