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Finding the Fourth Proportional to 2,891.31, 3,988.38 and 1,828.75

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Solution

The fourth proportional to 2,891.31, 3,988.38 and 1,828.75 is: 2,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.31 : 3,988.38 = 1,828.75 : x
  2. Step 2: Convert to fraction form
    2,891.31/3,988.38 = 1,828.75/x
  3. Step 3: Cross multiply
    2,891.31x = 3,988.38 × 1,828.75
  4. Step 4: Simplify right side
    2,891.31x = 7,293,739.95
  5. Step 5: Solve for x
    x = 7,293,739.95/2,891.31
  6. Step 6: Final answer
    x = 2,522.64

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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.