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Finding the Fourth Proportional to 16,242, 22,413.99 and 8,790

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Solution

The fourth proportional to 16,242, 22,413.99 and 8,790 is: 12,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242 : 22,413.99 = 8,790 : x
  2. Step 2: Convert to fraction form
    16,242/22,413.99 = 8,790/x
  3. Step 3: Cross multiply
    16,242x = 22,413.99 × 8,790
  4. Step 4: Simplify right side
    16,242x = 197,018,972.10
  5. Step 5: Solve for x
    x = 197,018,972.10/16,242
  6. Step 6: Final answer
    x = 12,130.22

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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.