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Finding the Fourth Proportional to 9,438.74, 14,159.82 and 3,889

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Solution

The fourth proportional to 9,438.74, 14,159.82 and 3,889 is: 5,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.74 : 14,159.82 = 3,889 : x
  2. Step 2: Convert to fraction form
    9,438.74/14,159.82 = 3,889/x
  3. Step 3: Cross multiply
    9,438.74x = 14,159.82 × 3,889
  4. Step 4: Simplify right side
    9,438.74x = 55,067,539.98
  5. Step 5: Solve for x
    x = 55,067,539.98/9,438.74
  6. Step 6: Final answer
    x = 5,834.20

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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.