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Finding the Fourth Proportional to 8,029.35, 12,038.05 and 3,865.45

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Solution

The fourth proportional to 8,029.35, 12,038.05 and 3,865.45 is: 5,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.35 : 12,038.05 = 3,865.45 : x
  2. Step 2: Convert to fraction form
    8,029.35/12,038.05 = 3,865.45/x
  3. Step 3: Cross multiply
    8,029.35x = 12,038.05 × 3,865.45
  4. Step 4: Simplify right side
    8,029.35x = 46,532,440.61
  5. Step 5: Solve for x
    x = 46,532,440.61/8,029.35
  6. Step 6: Final answer
    x = 5,795.29

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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.