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Finding the Fourth Proportional to 6,749.99, 9,314.71 and 3,917.22

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Solution

The fourth proportional to 6,749.99, 9,314.71 and 3,917.22 is: 5,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.99 : 9,314.71 = 3,917.22 : x
  2. Step 2: Convert to fraction form
    6,749.99/9,314.71 = 3,917.22/x
  3. Step 3: Cross multiply
    6,749.99x = 9,314.71 × 3,917.22
  4. Step 4: Simplify right side
    6,749.99x = 36,487,768.31
  5. Step 5: Solve for x
    x = 36,487,768.31/6,749.99
  6. Step 6: Final answer
    x = 5,405.60

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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.