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Finding the Fourth Proportional to 3,379, 5,070.75 and 1,300.72

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Solution

The fourth proportional to 3,379, 5,070.75 and 1,300.72 is: 1,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379 : 5,070.75 = 1,300.72 : x
  2. Step 2: Convert to fraction form
    3,379/5,070.75 = 1,300.72/x
  3. Step 3: Cross multiply
    3,379x = 5,070.75 × 1,300.72
  4. Step 4: Simplify right side
    3,379x = 6,595,625.94
  5. Step 5: Solve for x
    x = 6,595,625.94/3,379
  6. Step 6: Final answer
    x = 1,951.95

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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.