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Finding the Fourth Proportional to 2,078.40, 2,855.40 and 1,684.24

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Solution

The fourth proportional to 2,078.40, 2,855.40 and 1,684.24 is: 2,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.40 : 2,855.40 = 1,684.24 : x
  2. Step 2: Convert to fraction form
    2,078.40/2,855.40 = 1,684.24/x
  3. Step 3: Cross multiply
    2,078.40x = 2,855.40 × 1,684.24
  4. Step 4: Simplify right side
    2,078.40x = 4,809,178.90
  5. Step 5: Solve for x
    x = 4,809,178.90/2,078.40
  6. Step 6: Final answer
    x = 2,313.89

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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.