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Finding the Fourth Proportional to 2,140.58, 3,209.49 and 842.18

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Solution

The fourth proportional to 2,140.58, 3,209.49 and 842.18 is: 1,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.58 : 3,209.49 = 842.18 : x
  2. Step 2: Convert to fraction form
    2,140.58/3,209.49 = 842.18/x
  3. Step 3: Cross multiply
    2,140.58x = 3,209.49 × 842.18
  4. Step 4: Simplify right side
    2,140.58x = 2,702,968.29
  5. Step 5: Solve for x
    x = 2,702,968.29/2,140.58
  6. Step 6: Final answer
    x = 1,262.73

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1.5x scale

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.