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Finding the Fourth Proportional to 12,442.54, 17,170.85 and 7,137.85

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Solution

The fourth proportional to 12,442.54, 17,170.85 and 7,137.85 is: 9,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.54 : 17,170.85 = 7,137.85 : x
  2. Step 2: Convert to fraction form
    12,442.54/17,170.85 = 7,137.85/x
  3. Step 3: Cross multiply
    12,442.54x = 17,170.85 × 7,137.85
  4. Step 4: Simplify right side
    12,442.54x = 122,562,951.67
  5. Step 5: Solve for x
    x = 122,562,951.67/12,442.54
  6. Step 6: Final answer
    x = 9,850.32

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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.