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Finding the Fourth Proportional to 23,186.16, 34,758.36 and 8,391.60

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Solution

The fourth proportional to 23,186.16, 34,758.36 and 8,391.60 is: 12,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.16 : 34,758.36 = 8,391.60 : x
  2. Step 2: Convert to fraction form
    23,186.16/34,758.36 = 8,391.60/x
  3. Step 3: Cross multiply
    23,186.16x = 34,758.36 × 8,391.60
  4. Step 4: Simplify right side
    23,186.16x = 291,678,253.78
  5. Step 5: Solve for x
    x = 291,678,253.78/23,186.16
  6. Step 6: Final answer
    x = 12,579.84

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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.