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Finding the Fourth Proportional to 5,681.09, 7,839.54 and 3,163.10

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Solution

The fourth proportional to 5,681.09, 7,839.54 and 3,163.10 is: 4,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.09 : 7,839.54 = 3,163.10 : x
  2. Step 2: Convert to fraction form
    5,681.09/7,839.54 = 3,163.10/x
  3. Step 3: Cross multiply
    5,681.09x = 7,839.54 × 3,163.10
  4. Step 4: Simplify right side
    5,681.09x = 24,797,209.78
  5. Step 5: Solve for x
    x = 24,797,209.78/5,681.09
  6. Step 6: Final answer
    x = 4,364.87

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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.