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Finding the Fourth Proportional to 2,668.83, 3,682.64 and 1,489.95

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Solution

The fourth proportional to 2,668.83, 3,682.64 and 1,489.95 is: 2,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.83 : 3,682.64 = 1,489.95 : x
  2. Step 2: Convert to fraction form
    2,668.83/3,682.64 = 1,489.95/x
  3. Step 3: Cross multiply
    2,668.83x = 3,682.64 × 1,489.95
  4. Step 4: Simplify right side
    2,668.83x = 5,486,953.19
  5. Step 5: Solve for x
    x = 5,486,953.19/2,668.83
  6. Step 6: Final answer
    x = 2,055.94

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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.