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Finding the Fourth Proportional to 2,698.40, 3,722.40 and 1,815.09

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Solution

The fourth proportional to 2,698.40, 3,722.40 and 1,815.09 is: 2,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.40 : 3,722.40 = 1,815.09 : x
  2. Step 2: Convert to fraction form
    2,698.40/3,722.40 = 1,815.09/x
  3. Step 3: Cross multiply
    2,698.40x = 3,722.40 × 1,815.09
  4. Step 4: Simplify right side
    2,698.40x = 6,756,491.02
  5. Step 5: Solve for x
    x = 6,756,491.02/2,698.40
  6. Step 6: Final answer
    x = 2,503.89

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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.