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Finding the Fourth Proportional to 1,714.94, 2,351.18 and 1,683.80

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Solution

The fourth proportional to 1,714.94, 2,351.18 and 1,683.80 is: 2,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.94 : 2,351.18 = 1,683.80 : x
  2. Step 2: Convert to fraction form
    1,714.94/2,351.18 = 1,683.80/x
  3. Step 3: Cross multiply
    1,714.94x = 2,351.18 × 1,683.80
  4. Step 4: Simplify right side
    1,714.94x = 3,958,916.88
  5. Step 5: Solve for x
    x = 3,958,916.88/1,714.94
  6. Step 6: Final answer
    x = 2,308.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.