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Finding the Fourth Proportional to 6,446.40, 9,680.40 and 4,264.80

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Solution

The fourth proportional to 6,446.40, 9,680.40 and 4,264.80 is: 6,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.40 : 9,680.40 = 4,264.80 : x
  2. Step 2: Convert to fraction form
    6,446.40/9,680.40 = 4,264.80/x
  3. Step 3: Cross multiply
    6,446.40x = 9,680.40 × 4,264.80
  4. Step 4: Simplify right side
    6,446.40x = 41,284,969.92
  5. Step 5: Solve for x
    x = 41,284,969.92/6,446.40
  6. Step 6: Final answer
    x = 6,404.35

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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.