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Finding the Fourth Proportional to 15,804, 21,811.44 and 9,180

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Solution

The fourth proportional to 15,804, 21,811.44 and 9,180 is: 12,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804 : 21,811.44 = 9,180 : x
  2. Step 2: Convert to fraction form
    15,804/21,811.44 = 9,180/x
  3. Step 3: Cross multiply
    15,804x = 21,811.44 × 9,180
  4. Step 4: Simplify right side
    15,804x = 200,229,019.20
  5. Step 5: Solve for x
    x = 200,229,019.20/15,804
  6. Step 6: Final answer
    x = 12,669.52

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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.