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Finding the Fourth Proportional to 6,078, 9,118.44 and 1,974

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Solution

The fourth proportional to 6,078, 9,118.44 and 1,974 is: 2,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078 : 9,118.44 = 1,974 : x
  2. Step 2: Convert to fraction form
    6,078/9,118.44 = 1,974/x
  3. Step 3: Cross multiply
    6,078x = 9,118.44 × 1,974
  4. Step 4: Simplify right side
    6,078x = 17,999,800.56
  5. Step 5: Solve for x
    x = 17,999,800.56/6,078
  6. Step 6: Final answer
    x = 2,961.47

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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.