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Finding the Fourth Proportional to 22,083, 30,474.60 and 12,147

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Solution

The fourth proportional to 22,083, 30,474.60 and 12,147 is: 16,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083 : 30,474.60 = 12,147 : x
  2. Step 2: Convert to fraction form
    22,083/30,474.60 = 12,147/x
  3. Step 3: Cross multiply
    22,083x = 30,474.60 × 12,147
  4. Step 4: Simplify right side
    22,083x = 370,174,966.20
  5. Step 5: Solve for x
    x = 370,174,966.20/22,083
  6. Step 6: Final answer
    x = 16,762.89

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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.