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Finding the Fourth Proportional to 7,152.81, 10,729.79 and 2,154.83

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Solution

The fourth proportional to 7,152.81, 10,729.79 and 2,154.83 is: 3,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.81 : 10,729.79 = 2,154.83 : x
  2. Step 2: Convert to fraction form
    7,152.81/10,729.79 = 2,154.83/x
  3. Step 3: Cross multiply
    7,152.81x = 10,729.79 × 2,154.83
  4. Step 4: Simplify right side
    7,152.81x = 23,120,808.96
  5. Step 5: Solve for x
    x = 23,120,808.96/7,152.81
  6. Step 6: Final answer
    x = 3,232.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.