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Finding the Fourth Proportional to 12,858.72, 19,287.24 and 4,099.92

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Solution

The fourth proportional to 12,858.72, 19,287.24 and 4,099.92 is: 6,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.72 : 19,287.24 = 4,099.92 : x
  2. Step 2: Convert to fraction form
    12,858.72/19,287.24 = 4,099.92/x
  3. Step 3: Cross multiply
    12,858.72x = 19,287.24 × 4,099.92
  4. Step 4: Simplify right side
    12,858.72x = 79,076,141.02
  5. Step 5: Solve for x
    x = 79,076,141.02/12,858.72
  6. Step 6: Final answer
    x = 6,149.61

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1.5x scale

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.