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Finding the Fourth Proportional to 2,406.60, 3,609.90 and 2,151.45

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Solution

The fourth proportional to 2,406.60, 3,609.90 and 2,151.45 is: 3,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.60 : 3,609.90 = 2,151.45 : x
  2. Step 2: Convert to fraction form
    2,406.60/3,609.90 = 2,151.45/x
  3. Step 3: Cross multiply
    2,406.60x = 3,609.90 × 2,151.45
  4. Step 4: Simplify right side
    2,406.60x = 7,766,519.36
  5. Step 5: Solve for x
    x = 7,766,519.36/2,406.60
  6. Step 6: Final answer
    x = 3,227.18

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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.