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Finding the Fourth Proportional to 3,143.94, 4,717.56 and 1,683

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Solution

The fourth proportional to 3,143.94, 4,717.56 and 1,683 is: 2,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.94 : 4,717.56 = 1,683 : x
  2. Step 2: Convert to fraction form
    3,143.94/4,717.56 = 1,683/x
  3. Step 3: Cross multiply
    3,143.94x = 4,717.56 × 1,683
  4. Step 4: Simplify right side
    3,143.94x = 7,939,653.48
  5. Step 5: Solve for x
    x = 7,939,653.48/3,143.94
  6. Step 6: Final answer
    x = 2,525.38

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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.