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Finding the Fourth Proportional to 4,950.78, 6,835.19 and 3,185.46

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Solution

The fourth proportional to 4,950.78, 6,835.19 and 3,185.46 is: 4,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.78 : 6,835.19 = 3,185.46 : x
  2. Step 2: Convert to fraction form
    4,950.78/6,835.19 = 3,185.46/x
  3. Step 3: Cross multiply
    4,950.78x = 6,835.19 × 3,185.46
  4. Step 4: Simplify right side
    4,950.78x = 21,773,174.23
  5. Step 5: Solve for x
    x = 21,773,174.23/4,950.78
  6. Step 6: Final answer
    x = 4,397.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.