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Finding the Fourth Proportional to 10,965, 16,448.32 and 3,568.90

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Solution

The fourth proportional to 10,965, 16,448.32 and 3,568.90 is: 5,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965 : 16,448.32 = 3,568.90 : x
  2. Step 2: Convert to fraction form
    10,965/16,448.32 = 3,568.90/x
  3. Step 3: Cross multiply
    10,965x = 16,448.32 × 3,568.90
  4. Step 4: Simplify right side
    10,965x = 58,702,409.25
  5. Step 5: Solve for x
    x = 58,702,409.25/10,965
  6. Step 6: Final answer
    x = 5,353.62

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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.