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Finding the Fourth Proportional to 2,659.54, 3,668.55 and 1,664.00

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Solution

The fourth proportional to 2,659.54, 3,668.55 and 1,664.00 is: 2,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.54 : 3,668.55 = 1,664.00 : x
  2. Step 2: Convert to fraction form
    2,659.54/3,668.55 = 1,664.00/x
  3. Step 3: Cross multiply
    2,659.54x = 3,668.55 × 1,664.00
  4. Step 4: Simplify right side
    2,659.54x = 6,104,440.54
  5. Step 5: Solve for x
    x = 6,104,440.54/2,659.54
  6. Step 6: Final answer
    x = 2,295.30

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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.