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Finding the Fourth Proportional to 2,462.80, 3,402.76 and 1,942.80

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Solution

The fourth proportional to 2,462.80, 3,402.76 and 1,942.80 is: 2,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.80 : 3,402.76 = 1,942.80 : x
  2. Step 2: Convert to fraction form
    2,462.80/3,402.76 = 1,942.80/x
  3. Step 3: Cross multiply
    2,462.80x = 3,402.76 × 1,942.80
  4. Step 4: Simplify right side
    2,462.80x = 6,610,882.13
  5. Step 5: Solve for x
    x = 6,610,882.13/2,462.80
  6. Step 6: Final answer
    x = 2,684.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.