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Finding the Fourth Proportional to 1,938.75, 2,675.07 and 1,309.38

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Solution

The fourth proportional to 1,938.75, 2,675.07 and 1,309.38 is: 1,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.75 : 2,675.07 = 1,309.38 : x
  2. Step 2: Convert to fraction form
    1,938.75/2,675.07 = 1,309.38/x
  3. Step 3: Cross multiply
    1,938.75x = 2,675.07 × 1,309.38
  4. Step 4: Simplify right side
    1,938.75x = 3,502,683.16
  5. Step 5: Solve for x
    x = 3,502,683.16/1,938.75
  6. Step 6: Final answer
    x = 1,806.67

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1.5x scale

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.