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Finding the Fourth Proportional to 11,823.88, 17,729.58 and 5,247.20

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Solution

The fourth proportional to 11,823.88, 17,729.58 and 5,247.20 is: 7,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.88 : 17,729.58 = 5,247.20 : x
  2. Step 2: Convert to fraction form
    11,823.88/17,729.58 = 5,247.20/x
  3. Step 3: Cross multiply
    11,823.88x = 17,729.58 × 5,247.20
  4. Step 4: Simplify right side
    11,823.88x = 93,030,652.18
  5. Step 5: Solve for x
    x = 93,030,652.18/11,823.88
  6. Step 6: Final answer
    x = 7,868.03

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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.