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Finding the Fourth Proportional to 6,999.96, 9,673.86 and 5,739.06

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Solution

The fourth proportional to 6,999.96, 9,673.86 and 5,739.06 is: 7,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.96 : 9,673.86 = 5,739.06 : x
  2. Step 2: Convert to fraction form
    6,999.96/9,673.86 = 5,739.06/x
  3. Step 3: Cross multiply
    6,999.96x = 9,673.86 × 5,739.06
  4. Step 4: Simplify right side
    6,999.96x = 55,518,862.97
  5. Step 5: Solve for x
    x = 55,518,862.97/6,999.96
  6. Step 6: Final answer
    x = 7,931.31

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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.