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Finding the Fourth Proportional to 2,661.54, 3,668.64 and 2,101.08

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Solution

The fourth proportional to 2,661.54, 3,668.64 and 2,101.08 is: 2,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.54 : 3,668.64 = 2,101.08 : x
  2. Step 2: Convert to fraction form
    2,661.54/3,668.64 = 2,101.08/x
  3. Step 3: Cross multiply
    2,661.54x = 3,668.64 × 2,101.08
  4. Step 4: Simplify right side
    2,661.54x = 7,708,106.13
  5. Step 5: Solve for x
    x = 7,708,106.13/2,661.54
  6. Step 6: Final answer
    x = 2,896.11

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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.