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Finding the Fourth Proportional to 6,839.52, 9,440.63 and 4,007.57

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Solution

The fourth proportional to 6,839.52, 9,440.63 and 4,007.57 is: 5,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.52 : 9,440.63 = 4,007.57 : x
  2. Step 2: Convert to fraction form
    6,839.52/9,440.63 = 4,007.57/x
  3. Step 3: Cross multiply
    6,839.52x = 9,440.63 × 4,007.57
  4. Step 4: Simplify right side
    6,839.52x = 37,833,918.33
  5. Step 5: Solve for x
    x = 37,833,918.33/6,839.52
  6. Step 6: Final answer
    x = 5,531.66

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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.