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Finding the Fourth Proportional to 1,683.87, 2,323.72 and 937.79

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Solution

The fourth proportional to 1,683.87, 2,323.72 and 937.79 is: 1,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.87 : 2,323.72 = 937.79 : x
  2. Step 2: Convert to fraction form
    1,683.87/2,323.72 = 937.79/x
  3. Step 3: Cross multiply
    1,683.87x = 2,323.72 × 937.79
  4. Step 4: Simplify right side
    1,683.87x = 2,179,161.38
  5. Step 5: Solve for x
    x = 2,179,161.38/1,683.87
  6. Step 6: Final answer
    x = 1,294.14

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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.