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Finding the Fourth Proportional to 21,572.70, 29,768.22 and 12,141.06

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Solution

The fourth proportional to 21,572.70, 29,768.22 and 12,141.06 is: 16,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.70 : 29,768.22 = 12,141.06 : x
  2. Step 2: Convert to fraction form
    21,572.70/29,768.22 = 12,141.06/x
  3. Step 3: Cross multiply
    21,572.70x = 29,768.22 × 12,141.06
  4. Step 4: Simplify right side
    21,572.70x = 361,417,745.11
  5. Step 5: Solve for x
    x = 361,417,745.11/21,572.70
  6. Step 6: Final answer
    x = 16,753.48

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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.