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Finding the Fourth Proportional to 2,078.80, 3,114.96 and 1,752.64

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Solution

The fourth proportional to 2,078.80, 3,114.96 and 1,752.64 is: 2,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.80 : 3,114.96 = 1,752.64 : x
  2. Step 2: Convert to fraction form
    2,078.80/3,114.96 = 1,752.64/x
  3. Step 3: Cross multiply
    2,078.80x = 3,114.96 × 1,752.64
  4. Step 4: Simplify right side
    2,078.80x = 5,459,403.49
  5. Step 5: Solve for x
    x = 5,459,403.49/2,078.80
  6. Step 6: Final answer
    x = 2,626.23

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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.