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Finding the Fourth Proportional to 8,302.36, 11,458.78 and 5,319.48

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Solution

The fourth proportional to 8,302.36, 11,458.78 and 5,319.48 is: 7,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.36 : 11,458.78 = 5,319.48 : x
  2. Step 2: Convert to fraction form
    8,302.36/11,458.78 = 5,319.48/x
  3. Step 3: Cross multiply
    8,302.36x = 11,458.78 × 5,319.48
  4. Step 4: Simplify right side
    8,302.36x = 60,954,751.03
  5. Step 5: Solve for x
    x = 60,954,751.03/8,302.36
  6. Step 6: Final answer
    x = 7,341.86

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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.