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Finding the Fourth Proportional to 8,285.24, 12,406.74 and 8,039

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Solution

The fourth proportional to 8,285.24, 12,406.74 and 8,039 is: 12,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.24 : 12,406.74 = 8,039 : x
  2. Step 2: Convert to fraction form
    8,285.24/12,406.74 = 8,039/x
  3. Step 3: Cross multiply
    8,285.24x = 12,406.74 × 8,039
  4. Step 4: Simplify right side
    8,285.24x = 99,737,782.86
  5. Step 5: Solve for x
    x = 99,737,782.86/8,285.24
  6. Step 6: Final answer
    x = 12,038.01

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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.