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Finding the Fourth Proportional to 2,862.81, 3,950.78 and 1,683.99

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Solution

The fourth proportional to 2,862.81, 3,950.78 and 1,683.99 is: 2,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.81 : 3,950.78 = 1,683.99 : x
  2. Step 2: Convert to fraction form
    2,862.81/3,950.78 = 1,683.99/x
  3. Step 3: Cross multiply
    2,862.81x = 3,950.78 × 1,683.99
  4. Step 4: Simplify right side
    2,862.81x = 6,653,065.59
  5. Step 5: Solve for x
    x = 6,653,065.59/2,862.81
  6. Step 6: Final answer
    x = 2,323.96

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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.