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Finding the Fourth Proportional to 4,297.52, 6,446.90 and 1,630.09

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Solution

The fourth proportional to 4,297.52, 6,446.90 and 1,630.09 is: 2,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.52 : 6,446.90 = 1,630.09 : x
  2. Step 2: Convert to fraction form
    4,297.52/6,446.90 = 1,630.09/x
  3. Step 3: Cross multiply
    4,297.52x = 6,446.90 × 1,630.09
  4. Step 4: Simplify right side
    4,297.52x = 10,509,019.07
  5. Step 5: Solve for x
    x = 10,509,019.07/4,297.52
  6. Step 6: Final answer
    x = 2,445.37

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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.