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Finding the Fourth Proportional to 9,679.32, 13,353.60 and 6,321

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Solution

The fourth proportional to 9,679.32, 13,353.60 and 6,321 is: 8,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.32 : 13,353.60 = 6,321 : x
  2. Step 2: Convert to fraction form
    9,679.32/13,353.60 = 6,321/x
  3. Step 3: Cross multiply
    9,679.32x = 13,353.60 × 6,321
  4. Step 4: Simplify right side
    9,679.32x = 84,408,105.60
  5. Step 5: Solve for x
    x = 84,408,105.60/9,679.32
  6. Step 6: Final answer
    x = 8,720.46

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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.