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Finding the Fourth Proportional to 16,232, 22,400.18 and 8,780

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Solution

The fourth proportional to 16,232, 22,400.18 and 8,780 is: 12,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232 : 22,400.18 = 8,780 : x
  2. Step 2: Convert to fraction form
    16,232/22,400.18 = 8,780/x
  3. Step 3: Cross multiply
    16,232x = 22,400.18 × 8,780
  4. Step 4: Simplify right side
    16,232x = 196,673,580.40
  5. Step 5: Solve for x
    x = 196,673,580.40/16,232
  6. Step 6: Final answer
    x = 12,116.41

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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.