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Finding the Fourth Proportional to 12,442.02, 17,170.17 and 7,137.33

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Solution

The fourth proportional to 12,442.02, 17,170.17 and 7,137.33 is: 9,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.02 : 17,170.17 = 7,137.33 : x
  2. Step 2: Convert to fraction form
    12,442.02/17,170.17 = 7,137.33/x
  3. Step 3: Cross multiply
    12,442.02x = 17,170.17 × 7,137.33
  4. Step 4: Simplify right side
    12,442.02x = 122,549,169.45
  5. Step 5: Solve for x
    x = 122,549,169.45/12,442.02
  6. Step 6: Final answer
    x = 9,849.62

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