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Finding the Fourth Proportional to 12,157.11, 16,768.49 and 7,443.72

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Solution

The fourth proportional to 12,157.11, 16,768.49 and 7,443.72 is: 10,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.11 : 16,768.49 = 7,443.72 : x
  2. Step 2: Convert to fraction form
    12,157.11/16,768.49 = 7,443.72/x
  3. Step 3: Cross multiply
    12,157.11x = 16,768.49 × 7,443.72
  4. Step 4: Simplify right side
    12,157.11x = 124,819,907.16
  5. Step 5: Solve for x
    x = 124,819,907.16/12,157.11
  6. Step 6: Final answer
    x = 10,267.24

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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.