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Finding the Fourth Proportional to 16,255, 22,431.90 and 8,803

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Solution

The fourth proportional to 16,255, 22,431.90 and 8,803 is: 12,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255 : 22,431.90 = 8,803 : x
  2. Step 2: Convert to fraction form
    16,255/22,431.90 = 8,803/x
  3. Step 3: Cross multiply
    16,255x = 22,431.90 × 8,803
  4. Step 4: Simplify right side
    16,255x = 197,468,015.70
  5. Step 5: Solve for x
    x = 197,468,015.70/16,255
  6. Step 6: Final answer
    x = 12,148.14

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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.