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Finding the Fourth Proportional to 6,446.64, 9,669.27 and 3,980.80

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Solution

The fourth proportional to 6,446.64, 9,669.27 and 3,980.80 is: 5,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.64 : 9,669.27 = 3,980.80 : x
  2. Step 2: Convert to fraction form
    6,446.64/9,669.27 = 3,980.80/x
  3. Step 3: Cross multiply
    6,446.64x = 9,669.27 × 3,980.80
  4. Step 4: Simplify right side
    6,446.64x = 38,491,410.11
  5. Step 5: Solve for x
    x = 38,491,410.11/6,446.64
  6. Step 6: Final answer
    x = 5,970.77

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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.