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Finding the Fourth Proportional to 6,442.75, 8,891 and 3,648.25

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Solution

The fourth proportional to 6,442.75, 8,891 and 3,648.25 is: 5,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.75 : 8,891 = 3,648.25 : x
  2. Step 2: Convert to fraction form
    6,442.75/8,891 = 3,648.25/x
  3. Step 3: Cross multiply
    6,442.75x = 8,891 × 3,648.25
  4. Step 4: Simplify right side
    6,442.75x = 32,436,590.75
  5. Step 5: Solve for x
    x = 32,436,590.75/6,442.75
  6. Step 6: Final answer
    x = 5,034.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.