Home / 1,683.50-2,323.53-1,609.70

Finding the Fourth Proportional to 1,683.50, 2,323.53 and 1,609.70

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Solution

The fourth proportional to 1,683.50, 2,323.53 and 1,609.70 is: 2,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.50 : 2,323.53 = 1,609.70 : x
  2. Step 2: Convert to fraction form
    1,683.50/2,323.53 = 1,609.70/x
  3. Step 3: Cross multiply
    1,683.50x = 2,323.53 × 1,609.70
  4. Step 4: Simplify right side
    1,683.50x = 3,740,186.24
  5. Step 5: Solve for x
    x = 3,740,186.24/1,683.50
  6. Step 6: Final answer
    x = 2,221.67

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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.