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Finding the Fourth Proportional to 1,773.80, 2,660.70 and 1,406.60

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Solution

The fourth proportional to 1,773.80, 2,660.70 and 1,406.60 is: 2,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.80 : 2,660.70 = 1,406.60 : x
  2. Step 2: Convert to fraction form
    1,773.80/2,660.70 = 1,406.60/x
  3. Step 3: Cross multiply
    1,773.80x = 2,660.70 × 1,406.60
  4. Step 4: Simplify right side
    1,773.80x = 3,742,540.62
  5. Step 5: Solve for x
    x = 3,742,540.62/1,773.80
  6. Step 6: Final answer
    x = 2,109.90

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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.