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Finding the Fourth Proportional to 14,804, 20,429.76 and 8,180

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Solution

The fourth proportional to 14,804, 20,429.76 and 8,180 is: 11,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804 : 20,429.76 = 8,180 : x
  2. Step 2: Convert to fraction form
    14,804/20,429.76 = 8,180/x
  3. Step 3: Cross multiply
    14,804x = 20,429.76 × 8,180
  4. Step 4: Simplify right side
    14,804x = 167,115,436.80
  5. Step 5: Solve for x
    x = 167,115,436.80/14,804
  6. Step 6: Final answer
    x = 11,288.53

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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.