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Finding the Fourth Proportional to 6,986.75, 9,641.43 and 4,262.55

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Solution

The fourth proportional to 6,986.75, 9,641.43 and 4,262.55 is: 5,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.75 : 9,641.43 = 4,262.55 : x
  2. Step 2: Convert to fraction form
    6,986.75/9,641.43 = 4,262.55/x
  3. Step 3: Cross multiply
    6,986.75x = 9,641.43 × 4,262.55
  4. Step 4: Simplify right side
    6,986.75x = 41,097,077.45
  5. Step 5: Solve for x
    x = 41,097,077.45/6,986.75
  6. Step 6: Final answer
    x = 5,882.15

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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.