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Finding the Fourth Proportional to 12,029.36, 18,035.82 and 6,407.87

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Solution

The fourth proportional to 12,029.36, 18,035.82 and 6,407.87 is: 9,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.36 : 18,035.82 = 6,407.87 : x
  2. Step 2: Convert to fraction form
    12,029.36/18,035.82 = 6,407.87/x
  3. Step 3: Cross multiply
    12,029.36x = 18,035.82 × 6,407.87
  4. Step 4: Simplify right side
    12,029.36x = 115,571,099.72
  5. Step 5: Solve for x
    x = 115,571,099.72/12,029.36
  6. Step 6: Final answer
    x = 9,607.42

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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.