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Finding the Fourth Proportional to 9,415.75, 14,125.80 and 3,259.75

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Solution

The fourth proportional to 9,415.75, 14,125.80 and 3,259.75 is: 4,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.75 : 14,125.80 = 3,259.75 : x
  2. Step 2: Convert to fraction form
    9,415.75/14,125.80 = 3,259.75/x
  3. Step 3: Cross multiply
    9,415.75x = 14,125.80 × 3,259.75
  4. Step 4: Simplify right side
    9,415.75x = 46,046,576.55
  5. Step 5: Solve for x
    x = 46,046,576.55/9,415.75
  6. Step 6: Final answer
    x = 4,890.38

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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.