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Finding the Fourth Proportional to 6,871.96, 9,482.34 and 3,888.28

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Solution

The fourth proportional to 6,871.96, 9,482.34 and 3,888.28 is: 5,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.96 : 9,482.34 = 3,888.28 : x
  2. Step 2: Convert to fraction form
    6,871.96/9,482.34 = 3,888.28/x
  3. Step 3: Cross multiply
    6,871.96x = 9,482.34 × 3,888.28
  4. Step 4: Simplify right side
    6,871.96x = 36,869,992.98
  5. Step 5: Solve for x
    x = 36,869,992.98/6,871.96
  6. Step 6: Final answer
    x = 5,365.28

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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.