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Finding the Fourth Proportional to 10,813.85, 16,219.44 and 2,917.01

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Solution

The fourth proportional to 10,813.85, 16,219.44 and 2,917.01 is: 4,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.85 : 16,219.44 = 2,917.01 : x
  2. Step 2: Convert to fraction form
    10,813.85/16,219.44 = 2,917.01/x
  3. Step 3: Cross multiply
    10,813.85x = 16,219.44 × 2,917.01
  4. Step 4: Simplify right side
    10,813.85x = 47,312,309.22
  5. Step 5: Solve for x
    x = 47,312,309.22/10,813.85
  6. Step 6: Final answer
    x = 4,375.16

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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.