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Finding the Fourth Proportional to 6,447.26, 9,670.90 and 1,830.26

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Solution

The fourth proportional to 6,447.26, 9,670.90 and 1,830.26 is: 2,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.26 : 9,670.90 = 1,830.26 : x
  2. Step 2: Convert to fraction form
    6,447.26/9,670.90 = 1,830.26/x
  3. Step 3: Cross multiply
    6,447.26x = 9,670.90 × 1,830.26
  4. Step 4: Simplify right side
    6,447.26x = 17,700,261.43
  5. Step 5: Solve for x
    x = 17,700,261.43/6,447.26
  6. Step 6: Final answer
    x = 2,745.39

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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.