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Finding the Fourth Proportional to 1,950.49, 2,683.49 and 1,702.38

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Solution

The fourth proportional to 1,950.49, 2,683.49 and 1,702.38 is: 2,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.49 : 2,683.49 = 1,702.38 : x
  2. Step 2: Convert to fraction form
    1,950.49/2,683.49 = 1,702.38/x
  3. Step 3: Cross multiply
    1,950.49x = 2,683.49 × 1,702.38
  4. Step 4: Simplify right side
    1,950.49x = 4,568,319.71
  5. Step 5: Solve for x
    x = 4,568,319.71/1,950.49
  6. Step 6: Final answer
    x = 2,342.14

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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.