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Finding the Fourth Proportional to 9,911.57, 14,857.80 and 3,669.87

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Solution

The fourth proportional to 9,911.57, 14,857.80 and 3,669.87 is: 5,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.57 : 14,857.80 = 3,669.87 : x
  2. Step 2: Convert to fraction form
    9,911.57/14,857.80 = 3,669.87/x
  3. Step 3: Cross multiply
    9,911.57x = 14,857.80 × 3,669.87
  4. Step 4: Simplify right side
    9,911.57x = 54,526,236.44
  5. Step 5: Solve for x
    x = 54,526,236.44/9,911.57
  6. Step 6: Final answer
    x = 5,501.27

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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.