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Finding the Fourth Proportional to 12,782.44, 17,641.43 and 7,333.64

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Solution

The fourth proportional to 12,782.44, 17,641.43 and 7,333.64 is: 10,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.44 : 17,641.43 = 7,333.64 : x
  2. Step 2: Convert to fraction form
    12,782.44/17,641.43 = 7,333.64/x
  3. Step 3: Cross multiply
    12,782.44x = 17,641.43 × 7,333.64
  4. Step 4: Simplify right side
    12,782.44x = 129,375,896.71
  5. Step 5: Solve for x
    x = 129,375,896.71/12,782.44
  6. Step 6: Final answer
    x = 10,121.38

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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.