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Finding the Fourth Proportional to 8,021.53, 12,025 and 5,419

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Solution

The fourth proportional to 8,021.53, 12,025 and 5,419 is: 8,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.53 : 12,025 = 5,419 : x
  2. Step 2: Convert to fraction form
    8,021.53/12,025 = 5,419/x
  3. Step 3: Cross multiply
    8,021.53x = 12,025 × 5,419
  4. Step 4: Simplify right side
    8,021.53x = 65,163,475
  5. Step 5: Solve for x
    x = 65,163,475/8,021.53
  6. Step 6: Final answer
    x = 8,123.57

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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.