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Finding the Fourth Proportional to 19,661.80, 29,480.60 and 9,653.82

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Solution

The fourth proportional to 19,661.80, 29,480.60 and 9,653.82 is: 14,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.80 : 29,480.60 = 9,653.82 : x
  2. Step 2: Convert to fraction form
    19,661.80/29,480.60 = 9,653.82/x
  3. Step 3: Cross multiply
    19,661.80x = 29,480.60 × 9,653.82
  4. Step 4: Simplify right side
    19,661.80x = 284,600,405.89
  5. Step 5: Solve for x
    x = 284,600,405.89/19,661.80
  6. Step 6: Final answer
    x = 14,474.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.