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Finding the Fourth Proportional to 19,133.23, 28,702.80 and 9,768.16

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Solution

The fourth proportional to 19,133.23, 28,702.80 and 9,768.16 is: 14,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,133.23 : 28,702.80 = 9,768.16 : x
  2. Step 2: Convert to fraction form
    19,133.23/28,702.80 = 9,768.16/x
  3. Step 3: Cross multiply
    19,133.23x = 28,702.80 × 9,768.16
  4. Step 4: Simplify right side
    19,133.23x = 280,373,542.85
  5. Step 5: Solve for x
    x = 280,373,542.85/19,133.23
  6. Step 6: Final answer
    x = 14,653.75

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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.