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Finding the Fourth Proportional to 9,679.42, 13,363.42 and 6,327.84

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Solution

The fourth proportional to 9,679.42, 13,363.42 and 6,327.84 is: 8,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.42 : 13,363.42 = 6,327.84 : x
  2. Step 2: Convert to fraction form
    9,679.42/13,363.42 = 6,327.84/x
  3. Step 3: Cross multiply
    9,679.42x = 13,363.42 × 6,327.84
  4. Step 4: Simplify right side
    9,679.42x = 84,561,567.79
  5. Step 5: Solve for x
    x = 84,561,567.79/9,679.42
  6. Step 6: Final answer
    x = 8,736.22

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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.