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Finding the Fourth Proportional to 1,771.42, 2,656.78 and 1,683.60

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Solution

The fourth proportional to 1,771.42, 2,656.78 and 1,683.60 is: 2,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.42 : 2,656.78 = 1,683.60 : x
  2. Step 2: Convert to fraction form
    1,771.42/2,656.78 = 1,683.60/x
  3. Step 3: Cross multiply
    1,771.42x = 2,656.78 × 1,683.60
  4. Step 4: Simplify right side
    1,771.42x = 4,472,963.05
  5. Step 5: Solve for x
    x = 4,472,963.05/1,771.42
  6. Step 6: Final answer
    x = 2,525.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.