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Finding the Fourth Proportional to 8,173.42, 11,278.98 and 4,636.56

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Solution

The fourth proportional to 8,173.42, 11,278.98 and 4,636.56 is: 6,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.42 : 11,278.98 = 4,636.56 : x
  2. Step 2: Convert to fraction form
    8,173.42/11,278.98 = 4,636.56/x
  3. Step 3: Cross multiply
    8,173.42x = 11,278.98 × 4,636.56
  4. Step 4: Simplify right side
    8,173.42x = 52,295,667.51
  5. Step 5: Solve for x
    x = 52,295,667.51/8,173.42
  6. Step 6: Final answer
    x = 6,398.26

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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.