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Finding the Fourth Proportional to 8,276.40, 12,409.80 and 3,082.80

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Solution

The fourth proportional to 8,276.40, 12,409.80 and 3,082.80 is: 4,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.40 : 12,409.80 = 3,082.80 : x
  2. Step 2: Convert to fraction form
    8,276.40/12,409.80 = 3,082.80/x
  3. Step 3: Cross multiply
    8,276.40x = 12,409.80 × 3,082.80
  4. Step 4: Simplify right side
    8,276.40x = 38,256,931.44
  5. Step 5: Solve for x
    x = 38,256,931.44/8,276.40
  6. Step 6: Final answer
    x = 4,622.41

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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.