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Finding the Fourth Proportional to 4,933, 7,400.64 and 1,855

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Solution

The fourth proportional to 4,933, 7,400.64 and 1,855 is: 2,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933 : 7,400.64 = 1,855 : x
  2. Step 2: Convert to fraction form
    4,933/7,400.64 = 1,855/x
  3. Step 3: Cross multiply
    4,933x = 7,400.64 × 1,855
  4. Step 4: Simplify right side
    4,933x = 13,728,187.20
  5. Step 5: Solve for x
    x = 13,728,187.20/4,933
  6. Step 6: Final answer
    x = 2,782.93

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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.