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Finding the Fourth Proportional to 2,668.91, 3,678.68 and 1,784.39

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Solution

The fourth proportional to 2,668.91, 3,678.68 and 1,784.39 is: 2,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.91 : 3,678.68 = 1,784.39 : x
  2. Step 2: Convert to fraction form
    2,668.91/3,678.68 = 1,784.39/x
  3. Step 3: Cross multiply
    2,668.91x = 3,678.68 × 1,784.39
  4. Step 4: Simplify right side
    2,668.91x = 6,564,185.87
  5. Step 5: Solve for x
    x = 6,564,185.87/2,668.91
  6. Step 6: Final answer
    x = 2,459.51

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1.5x scale

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.