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Finding the Fourth Proportional to 1,904.65, 2,626.97 and 1,639.54

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Solution

The fourth proportional to 1,904.65, 2,626.97 and 1,639.54 is: 2,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.65 : 2,626.97 = 1,639.54 : x
  2. Step 2: Convert to fraction form
    1,904.65/2,626.97 = 1,639.54/x
  3. Step 3: Cross multiply
    1,904.65x = 2,626.97 × 1,639.54
  4. Step 4: Simplify right side
    1,904.65x = 4,307,022.39
  5. Step 5: Solve for x
    x = 4,307,022.39/1,904.65
  6. Step 6: Final answer
    x = 2,261.32

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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.