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Finding the Fourth Proportional to 2,551.69, 3,518.25 and 1,984.69

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Solution

The fourth proportional to 2,551.69, 3,518.25 and 1,984.69 is: 2,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.69 : 3,518.25 = 1,984.69 : x
  2. Step 2: Convert to fraction form
    2,551.69/3,518.25 = 1,984.69/x
  3. Step 3: Cross multiply
    2,551.69x = 3,518.25 × 1,984.69
  4. Step 4: Simplify right side
    2,551.69x = 6,982,635.59
  5. Step 5: Solve for x
    x = 6,982,635.59/2,551.69
  6. Step 6: Final answer
    x = 2,736.47

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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.