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Finding the Fourth Proportional to 7,133.63, 9,843.75 and 4,149.43

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Solution

The fourth proportional to 7,133.63, 9,843.75 and 4,149.43 is: 5,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.63 : 9,843.75 = 4,149.43 : x
  2. Step 2: Convert to fraction form
    7,133.63/9,843.75 = 4,149.43/x
  3. Step 3: Cross multiply
    7,133.63x = 9,843.75 × 4,149.43
  4. Step 4: Simplify right side
    7,133.63x = 40,845,926.95
  5. Step 5: Solve for x
    x = 40,845,926.95/7,133.63
  6. Step 6: Final answer
    x = 5,725.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.