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Finding the Fourth Proportional to 6,446.34, 9,669.51 and 1,766.39

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Solution

The fourth proportional to 6,446.34, 9,669.51 and 1,766.39 is: 2,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.34 : 9,669.51 = 1,766.39 : x
  2. Step 2: Convert to fraction form
    6,446.34/9,669.51 = 1,766.39/x
  3. Step 3: Cross multiply
    6,446.34x = 9,669.51 × 1,766.39
  4. Step 4: Simplify right side
    6,446.34x = 17,080,077.42
  5. Step 5: Solve for x
    x = 17,080,077.42/6,446.34
  6. Step 6: Final answer
    x = 2,649.58

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Similar ratio
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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.