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Finding the Fourth Proportional to 8,022.53, 12,026.50 and 5,420

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Solution

The fourth proportional to 8,022.53, 12,026.50 and 5,420 is: 8,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.53 : 12,026.50 = 5,420 : x
  2. Step 2: Convert to fraction form
    8,022.53/12,026.50 = 5,420/x
  3. Step 3: Cross multiply
    8,022.53x = 12,026.50 × 5,420
  4. Step 4: Simplify right side
    8,022.53x = 65,183,630
  5. Step 5: Solve for x
    x = 65,183,630/8,022.53
  6. Step 6: Final answer
    x = 8,125.07

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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.