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Finding the Fourth Proportional to 9,416.80, 14,125.20 and 8,396.20

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Solution

The fourth proportional to 9,416.80, 14,125.20 and 8,396.20 is: 12,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.80 : 14,125.20 = 8,396.20 : x
  2. Step 2: Convert to fraction form
    9,416.80/14,125.20 = 8,396.20/x
  3. Step 3: Cross multiply
    9,416.80x = 14,125.20 × 8,396.20
  4. Step 4: Simplify right side
    9,416.80x = 118,598,004.24
  5. Step 5: Solve for x
    x = 118,598,004.24/9,416.80
  6. Step 6: Final answer
    x = 12,594.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.