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Finding the Fourth Proportional to 35,141.60, 52,719.60 and 11,784.80

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Solution

The fourth proportional to 35,141.60, 52,719.60 and 11,784.80 is: 17,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,141.60 : 52,719.60 = 11,784.80 : x
  2. Step 2: Convert to fraction form
    35,141.60/52,719.60 = 11,784.80/x
  3. Step 3: Cross multiply
    35,141.60x = 52,719.60 × 11,784.80
  4. Step 4: Simplify right side
    35,141.60x = 621,289,942.08
  5. Step 5: Solve for x
    x = 621,289,942.08/35,141.60
  6. Step 6: Final answer
    x = 17,679.61

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Why These Related Problems?

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