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Finding the Fourth Proportional to 9,192.63, 13,780.74 and 4,255.50

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Solution

The fourth proportional to 9,192.63, 13,780.74 and 4,255.50 is: 6,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.63 : 13,780.74 = 4,255.50 : x
  2. Step 2: Convert to fraction form
    9,192.63/13,780.74 = 4,255.50/x
  3. Step 3: Cross multiply
    9,192.63x = 13,780.74 × 4,255.50
  4. Step 4: Simplify right side
    9,192.63x = 58,643,939.07
  5. Step 5: Solve for x
    x = 58,643,939.07/9,192.63
  6. Step 6: Final answer
    x = 6,379.45

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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.