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Finding the Fourth Proportional to 6,741.09, 9,300.42 and 3,907.71

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Solution

The fourth proportional to 6,741.09, 9,300.42 and 3,907.71 is: 5,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.09 : 9,300.42 = 3,907.71 : x
  2. Step 2: Convert to fraction form
    6,741.09/9,300.42 = 3,907.71/x
  3. Step 3: Cross multiply
    6,741.09x = 9,300.42 × 3,907.71
  4. Step 4: Simplify right side
    6,741.09x = 36,343,344.24
  5. Step 5: Solve for x
    x = 36,343,344.24/6,741.09
  6. Step 6: Final answer
    x = 5,391.32

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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.