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Finding the Fourth Proportional to 9,255, 13,887.96 and 3,415.71

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Solution

The fourth proportional to 9,255, 13,887.96 and 3,415.71 is: 5,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255 : 13,887.96 = 3,415.71 : x
  2. Step 2: Convert to fraction form
    9,255/13,887.96 = 3,415.71/x
  3. Step 3: Cross multiply
    9,255x = 13,887.96 × 3,415.71
  4. Step 4: Simplify right side
    9,255x = 47,437,243.85
  5. Step 5: Solve for x
    x = 47,437,243.85/9,255
  6. Step 6: Final answer
    x = 5,125.58

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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.