Home / 1,683.08-2,322.58-984.84

Finding the Fourth Proportional to 1,683.08, 2,322.58 and 984.84

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Solution

The fourth proportional to 1,683.08, 2,322.58 and 984.84 is: 1,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.08 : 2,322.58 = 984.84 : x
  2. Step 2: Convert to fraction form
    1,683.08/2,322.58 = 984.84/x
  3. Step 3: Cross multiply
    1,683.08x = 2,322.58 × 984.84
  4. Step 4: Simplify right side
    1,683.08x = 2,287,369.69
  5. Step 5: Solve for x
    x = 2,287,369.69/1,683.08
  6. Step 6: Final answer
    x = 1,359.04

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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.