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Finding the Fourth Proportional to 11,157.21, 15,389.87 and 6,848.42

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Solution

The fourth proportional to 11,157.21, 15,389.87 and 6,848.42 is: 9,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.21 : 15,389.87 = 6,848.42 : x
  2. Step 2: Convert to fraction form
    11,157.21/15,389.87 = 6,848.42/x
  3. Step 3: Cross multiply
    11,157.21x = 15,389.87 × 6,848.42
  4. Step 4: Simplify right side
    11,157.21x = 105,396,182.31
  5. Step 5: Solve for x
    x = 105,396,182.31/11,157.21
  6. Step 6: Final answer
    x = 9,446.46

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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.