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Finding the Fourth Proportional to 12,893.44, 19,343 and 4,129.24

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Solution

The fourth proportional to 12,893.44, 19,343 and 4,129.24 is: 6,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.44 : 19,343 = 4,129.24 : x
  2. Step 2: Convert to fraction form
    12,893.44/19,343 = 4,129.24/x
  3. Step 3: Cross multiply
    12,893.44x = 19,343 × 4,129.24
  4. Step 4: Simplify right side
    12,893.44x = 79,871,889.32
  5. Step 5: Solve for x
    x = 79,871,889.32/12,893.44
  6. Step 6: Final answer
    x = 6,194.77

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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.