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Finding the Fourth Proportional to 7,381.57, 10,180.81 and 4,729.23

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Solution

The fourth proportional to 7,381.57, 10,180.81 and 4,729.23 is: 6,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.57 : 10,180.81 = 4,729.23 : x
  2. Step 2: Convert to fraction form
    7,381.57/10,180.81 = 4,729.23/x
  3. Step 3: Cross multiply
    7,381.57x = 10,180.81 × 4,729.23
  4. Step 4: Simplify right side
    7,381.57x = 48,147,392.08
  5. Step 5: Solve for x
    x = 48,147,392.08/7,381.57
  6. Step 6: Final answer
    x = 6,522.65

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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.