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Finding the Fourth Proportional to 14,131.82, 21,182.94 and 4,768.61

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Solution

The fourth proportional to 14,131.82, 21,182.94 and 4,768.61 is: 7,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.82 : 21,182.94 = 4,768.61 : x
  2. Step 2: Convert to fraction form
    14,131.82/21,182.94 = 4,768.61/x
  3. Step 3: Cross multiply
    14,131.82x = 21,182.94 × 4,768.61
  4. Step 4: Simplify right side
    14,131.82x = 101,013,179.51
  5. Step 5: Solve for x
    x = 101,013,179.51/14,131.82
  6. Step 6: Final answer
    x = 7,147.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.