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Finding the Fourth Proportional to 16,222, 22,386.36 and 8,770

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Solution

The fourth proportional to 16,222, 22,386.36 and 8,770 is: 12,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222 : 22,386.36 = 8,770 : x
  2. Step 2: Convert to fraction form
    16,222/22,386.36 = 8,770/x
  3. Step 3: Cross multiply
    16,222x = 22,386.36 × 8,770
  4. Step 4: Simplify right side
    16,222x = 196,328,377.20
  5. Step 5: Solve for x
    x = 196,328,377.20/16,222
  6. Step 6: Final answer
    x = 12,102.60

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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.