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Finding the Fourth Proportional to 6,813.72, 9,403.32 and 4,161

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Solution

The fourth proportional to 6,813.72, 9,403.32 and 4,161 is: 5,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.72 : 9,403.32 = 4,161 : x
  2. Step 2: Convert to fraction form
    6,813.72/9,403.32 = 4,161/x
  3. Step 3: Cross multiply
    6,813.72x = 9,403.32 × 4,161
  4. Step 4: Simplify right side
    6,813.72x = 39,127,214.52
  5. Step 5: Solve for x
    x = 39,127,214.52/6,813.72
  6. Step 6: Final answer
    x = 5,742.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.