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Finding the Fourth Proportional to 10,965, 16,447.50 and 3,669

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Solution

The fourth proportional to 10,965, 16,447.50 and 3,669 is: 5,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965 : 16,447.50 = 3,669 : x
  2. Step 2: Convert to fraction form
    10,965/16,447.50 = 3,669/x
  3. Step 3: Cross multiply
    10,965x = 16,447.50 × 3,669
  4. Step 4: Simplify right side
    10,965x = 60,345,877.50
  5. Step 5: Solve for x
    x = 60,345,877.50/10,965
  6. Step 6: Final answer
    x = 5,503.50

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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.