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Finding the Fourth Proportional to 1,842.58, 2,544.81 and 1,252.09

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Solution

The fourth proportional to 1,842.58, 2,544.81 and 1,252.09 is: 1,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.58 : 2,544.81 = 1,252.09 : x
  2. Step 2: Convert to fraction form
    1,842.58/2,544.81 = 1,252.09/x
  3. Step 3: Cross multiply
    1,842.58x = 2,544.81 × 1,252.09
  4. Step 4: Simplify right side
    1,842.58x = 3,186,331.15
  5. Step 5: Solve for x
    x = 3,186,331.15/1,842.58
  6. Step 6: Final answer
    x = 1,729.28

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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.