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Finding the Fourth Proportional to 6,986.22, 9,641 and 3,842.42

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Solution

The fourth proportional to 6,986.22, 9,641 and 3,842.42 is: 5,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.22 : 9,641 = 3,842.42 : x
  2. Step 2: Convert to fraction form
    6,986.22/9,641 = 3,842.42/x
  3. Step 3: Cross multiply
    6,986.22x = 9,641 × 3,842.42
  4. Step 4: Simplify right side
    6,986.22x = 37,044,771.22
  5. Step 5: Solve for x
    x = 37,044,771.22/6,986.22
  6. Step 6: Final answer
    x = 5,302.55

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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.