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Finding the Fourth Proportional to 9,872.82, 13,625.31 and 5,625.21

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Solution

The fourth proportional to 9,872.82, 13,625.31 and 5,625.21 is: 7,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.82 : 13,625.31 = 5,625.21 : x
  2. Step 2: Convert to fraction form
    9,872.82/13,625.31 = 5,625.21/x
  3. Step 3: Cross multiply
    9,872.82x = 13,625.31 × 5,625.21
  4. Step 4: Simplify right side
    9,872.82x = 76,645,201.94
  5. Step 5: Solve for x
    x = 76,645,201.94/9,872.82
  6. Step 6: Final answer
    x = 7,763.25

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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.