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Finding the Fourth Proportional to 8,052, 12,078.90 and 7,225.20

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Solution

The fourth proportional to 8,052, 12,078.90 and 7,225.20 is: 10,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052 : 12,078.90 = 7,225.20 : x
  2. Step 2: Convert to fraction form
    8,052/12,078.90 = 7,225.20/x
  3. Step 3: Cross multiply
    8,052x = 12,078.90 × 7,225.20
  4. Step 4: Simplify right side
    8,052x = 87,272,468.28
  5. Step 5: Solve for x
    x = 87,272,468.28/8,052
  6. Step 6: Final answer
    x = 10,838.61

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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.