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Finding the Fourth Proportional to 9,334.64, 12,874.20 and 6,978.80

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Solution

The fourth proportional to 9,334.64, 12,874.20 and 6,978.80 is: 9,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.64 : 12,874.20 = 6,978.80 : x
  2. Step 2: Convert to fraction form
    9,334.64/12,874.20 = 6,978.80/x
  3. Step 3: Cross multiply
    9,334.64x = 12,874.20 × 6,978.80
  4. Step 4: Simplify right side
    9,334.64x = 89,846,466.96
  5. Step 5: Solve for x
    x = 89,846,466.96/9,334.64
  6. Step 6: Final answer
    x = 9,625.06

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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.