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Finding the Fourth Proportional to 6,466.43, 9,699.21 and 3,178.44

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Solution

The fourth proportional to 6,466.43, 9,699.21 and 3,178.44 is: 4,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.43 : 9,699.21 = 3,178.44 : x
  2. Step 2: Convert to fraction form
    6,466.43/9,699.21 = 3,178.44/x
  3. Step 3: Cross multiply
    6,466.43x = 9,699.21 × 3,178.44
  4. Step 4: Simplify right side
    6,466.43x = 30,828,357.03
  5. Step 5: Solve for x
    x = 30,828,357.03/6,466.43
  6. Step 6: Final answer
    x = 4,767.44

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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.