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Finding the Fourth Proportional to 7,839.09, 10,817.16 and 4,853.82

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Solution

The fourth proportional to 7,839.09, 10,817.16 and 4,853.82 is: 6,697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.09 : 10,817.16 = 4,853.82 : x
  2. Step 2: Convert to fraction form
    7,839.09/10,817.16 = 4,853.82/x
  3. Step 3: Cross multiply
    7,839.09x = 10,817.16 × 4,853.82
  4. Step 4: Simplify right side
    7,839.09x = 52,504,547.55
  5. Step 5: Solve for x
    x = 52,504,547.55/7,839.09
  6. Step 6: Final answer
    x = 6,697.79

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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.