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Finding the Fourth Proportional to 2,294.60, 3,420.26 and 2,078.60

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Solution

The fourth proportional to 2,294.60, 3,420.26 and 2,078.60 is: 3,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.60 : 3,420.26 = 2,078.60 : x
  2. Step 2: Convert to fraction form
    2,294.60/3,420.26 = 2,078.60/x
  3. Step 3: Cross multiply
    2,294.60x = 3,420.26 × 2,078.60
  4. Step 4: Simplify right side
    2,294.60x = 7,109,352.44
  5. Step 5: Solve for x
    x = 7,109,352.44/2,294.60
  6. Step 6: Final answer
    x = 3,098.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.