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Finding the Fourth Proportional to 6,967.80, 9,614.12 and 3,984.60

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Solution

The fourth proportional to 6,967.80, 9,614.12 and 3,984.60 is: 5,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.80 : 9,614.12 = 3,984.60 : x
  2. Step 2: Convert to fraction form
    6,967.80/9,614.12 = 3,984.60/x
  3. Step 3: Cross multiply
    6,967.80x = 9,614.12 × 3,984.60
  4. Step 4: Simplify right side
    6,967.80x = 38,308,422.55
  5. Step 5: Solve for x
    x = 38,308,422.55/6,967.80
  6. Step 6: Final answer
    x = 5,497.92

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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.