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Finding the Fourth Proportional to 9,731, 14,599.12 and 3,891.72

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Solution

The fourth proportional to 9,731, 14,599.12 and 3,891.72 is: 5,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731 : 14,599.12 = 3,891.72 : x
  2. Step 2: Convert to fraction form
    9,731/14,599.12 = 3,891.72/x
  3. Step 3: Cross multiply
    9,731x = 14,599.12 × 3,891.72
  4. Step 4: Simplify right side
    9,731x = 56,815,687.29
  5. Step 5: Solve for x
    x = 56,815,687.29/9,731
  6. Step 6: Final answer
    x = 5,838.63

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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.