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Finding the Fourth Proportional to 9,291, 13,936.50 and 3,135

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Solution

The fourth proportional to 9,291, 13,936.50 and 3,135 is: 4,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291 : 13,936.50 = 3,135 : x
  2. Step 2: Convert to fraction form
    9,291/13,936.50 = 3,135/x
  3. Step 3: Cross multiply
    9,291x = 13,936.50 × 3,135
  4. Step 4: Simplify right side
    9,291x = 43,690,927.50
  5. Step 5: Solve for x
    x = 43,690,927.50/9,291
  6. Step 6: Final answer
    x = 4,702.50

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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.