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Finding the Fourth Proportional to 1,999.74, 3,000.15 and 767.10

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Solution

The fourth proportional to 1,999.74, 3,000.15 and 767.10 is: 1,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.74 : 3,000.15 = 767.10 : x
  2. Step 2: Convert to fraction form
    1,999.74/3,000.15 = 767.10/x
  3. Step 3: Cross multiply
    1,999.74x = 3,000.15 × 767.10
  4. Step 4: Simplify right side
    1,999.74x = 2,301,415.07
  5. Step 5: Solve for x
    x = 2,301,415.07/1,999.74
  6. Step 6: Final answer
    x = 1,150.86

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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.