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Finding the Fourth Proportional to 11,164.56, 15,373.14 and 9,672.54

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Solution

The fourth proportional to 11,164.56, 15,373.14 and 9,672.54 is: 13,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.56 : 15,373.14 = 9,672.54 : x
  2. Step 2: Convert to fraction form
    11,164.56/15,373.14 = 9,672.54/x
  3. Step 3: Cross multiply
    11,164.56x = 15,373.14 × 9,672.54
  4. Step 4: Simplify right side
    11,164.56x = 148,697,311.58
  5. Step 5: Solve for x
    x = 148,697,311.58/11,164.56
  6. Step 6: Final answer
    x = 13,318.69

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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.