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Finding the Fourth Proportional to 9,317, 13,975.50 and 2,391.50

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Solution

The fourth proportional to 9,317, 13,975.50 and 2,391.50 is: 3,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317 : 13,975.50 = 2,391.50 : x
  2. Step 2: Convert to fraction form
    9,317/13,975.50 = 2,391.50/x
  3. Step 3: Cross multiply
    9,317x = 13,975.50 × 2,391.50
  4. Step 4: Simplify right side
    9,317x = 33,422,408.25
  5. Step 5: Solve for x
    x = 33,422,408.25/9,317
  6. Step 6: Final answer
    x = 3,587.25

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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.