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Finding the Fourth Proportional to 19,205.56, 28,754.82 and 9,825.40

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Solution

The fourth proportional to 19,205.56, 28,754.82 and 9,825.40 is: 14,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.56 : 28,754.82 = 9,825.40 : x
  2. Step 2: Convert to fraction form
    19,205.56/28,754.82 = 9,825.40/x
  3. Step 3: Cross multiply
    19,205.56x = 28,754.82 × 9,825.40
  4. Step 4: Simplify right side
    19,205.56x = 282,527,608.43
  5. Step 5: Solve for x
    x = 282,527,608.43/19,205.56
  6. Step 6: Final answer
    x = 14,710.72

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