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Finding the Fourth Proportional to 2,410.60, 3,324.80 and 1,642.90

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Solution

The fourth proportional to 2,410.60, 3,324.80 and 1,642.90 is: 2,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.60 : 3,324.80 = 1,642.90 : x
  2. Step 2: Convert to fraction form
    2,410.60/3,324.80 = 1,642.90/x
  3. Step 3: Cross multiply
    2,410.60x = 3,324.80 × 1,642.90
  4. Step 4: Simplify right side
    2,410.60x = 5,462,313.92
  5. Step 5: Solve for x
    x = 5,462,313.92/2,410.60
  6. Step 6: Final answer
    x = 2,265.96

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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.