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Finding the Fourth Proportional to 9,689.63, 14,542.74 and 3,850.34

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Solution

The fourth proportional to 9,689.63, 14,542.74 and 3,850.34 is: 5,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.63 : 14,542.74 = 3,850.34 : x
  2. Step 2: Convert to fraction form
    9,689.63/14,542.74 = 3,850.34/x
  3. Step 3: Cross multiply
    9,689.63x = 14,542.74 × 3,850.34
  4. Step 4: Simplify right side
    9,689.63x = 55,994,420.82
  5. Step 5: Solve for x
    x = 55,994,420.82/9,689.63
  6. Step 6: Final answer
    x = 5,778.80

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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.