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Finding the Fourth Proportional to 9,843.63, 14,768.32 and 2,918.31

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Solution

The fourth proportional to 9,843.63, 14,768.32 and 2,918.31 is: 4,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.63 : 14,768.32 = 2,918.31 : x
  2. Step 2: Convert to fraction form
    9,843.63/14,768.32 = 2,918.31/x
  3. Step 3: Cross multiply
    9,843.63x = 14,768.32 × 2,918.31
  4. Step 4: Simplify right side
    9,843.63x = 43,098,535.94
  5. Step 5: Solve for x
    x = 43,098,535.94/9,843.63
  6. Step 6: Final answer
    x = 4,378.32

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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.