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Finding the Fourth Proportional to 1,683.16, 2,324.10 and 1,241.80

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Solution

The fourth proportional to 1,683.16, 2,324.10 and 1,241.80 is: 1,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.16 : 2,324.10 = 1,241.80 : x
  2. Step 2: Convert to fraction form
    1,683.16/2,324.10 = 1,241.80/x
  3. Step 3: Cross multiply
    1,683.16x = 2,324.10 × 1,241.80
  4. Step 4: Simplify right side
    1,683.16x = 2,886,067.38
  5. Step 5: Solve for x
    x = 2,886,067.38/1,683.16
  6. Step 6: Final answer
    x = 1,714.67

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Double scale
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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.