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Finding the Fourth Proportional to 8,285.36, 12,426.78 and 4,124

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Solution

The fourth proportional to 8,285.36, 12,426.78 and 4,124 is: 6,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.36 : 12,426.78 = 4,124 : x
  2. Step 2: Convert to fraction form
    8,285.36/12,426.78 = 4,124/x
  3. Step 3: Cross multiply
    8,285.36x = 12,426.78 × 4,124
  4. Step 4: Simplify right side
    8,285.36x = 51,248,040.72
  5. Step 5: Solve for x
    x = 51,248,040.72/8,285.36
  6. Step 6: Final answer
    x = 6,185.37

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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.