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Finding the Fourth Proportional to 7,164.44, 9,886.92 and 4,020.63

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Solution

The fourth proportional to 7,164.44, 9,886.92 and 4,020.63 is: 5,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.44 : 9,886.92 = 4,020.63 : x
  2. Step 2: Convert to fraction form
    7,164.44/9,886.92 = 4,020.63/x
  3. Step 3: Cross multiply
    7,164.44x = 9,886.92 × 4,020.63
  4. Step 4: Simplify right side
    7,164.44x = 39,751,647.16
  5. Step 5: Solve for x
    x = 39,751,647.16/7,164.44
  6. Step 6: Final answer
    x = 5,548.47

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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.