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Finding the Fourth Proportional to 9,986, 14,970.54 and 6,689

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Solution

The fourth proportional to 9,986, 14,970.54 and 6,689 is: 10,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986 : 14,970.54 = 6,689 : x
  2. Step 2: Convert to fraction form
    9,986/14,970.54 = 6,689/x
  3. Step 3: Cross multiply
    9,986x = 14,970.54 × 6,689
  4. Step 4: Simplify right side
    9,986x = 100,137,942.06
  5. Step 5: Solve for x
    x = 100,137,942.06/9,986
  6. Step 6: Final answer
    x = 10,027.83

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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.