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Finding the Fourth Proportional to 3,123.93, 4,686 and 815.43

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Solution

The fourth proportional to 3,123.93, 4,686 and 815.43 is: 1,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.93 : 4,686 = 815.43 : x
  2. Step 2: Convert to fraction form
    3,123.93/4,686 = 815.43/x
  3. Step 3: Cross multiply
    3,123.93x = 4,686 × 815.43
  4. Step 4: Simplify right side
    3,123.93x = 3,821,104.98
  5. Step 5: Solve for x
    x = 3,821,104.98/3,123.93
  6. Step 6: Final answer
    x = 1,223.17

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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.