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Finding the Fourth Proportional to 4,115.01, 6,172.51 and 1,379.01

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Solution

The fourth proportional to 4,115.01, 6,172.51 and 1,379.01 is: 2,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.01 : 6,172.51 = 1,379.01 : x
  2. Step 2: Convert to fraction form
    4,115.01/6,172.51 = 1,379.01/x
  3. Step 3: Cross multiply
    4,115.01x = 6,172.51 × 1,379.01
  4. Step 4: Simplify right side
    4,115.01x = 8,511,946.12
  5. Step 5: Solve for x
    x = 8,511,946.12/4,115.01
  6. Step 6: Final answer
    x = 2,068.51

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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.