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Finding the Fourth Proportional to 1,839.19, 2,759.47 and 852.49

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Solution

The fourth proportional to 1,839.19, 2,759.47 and 852.49 is: 1,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.19 : 2,759.47 = 852.49 : x
  2. Step 2: Convert to fraction form
    1,839.19/2,759.47 = 852.49/x
  3. Step 3: Cross multiply
    1,839.19x = 2,759.47 × 852.49
  4. Step 4: Simplify right side
    1,839.19x = 2,352,420.58
  5. Step 5: Solve for x
    x = 2,352,420.58/1,839.19
  6. Step 6: Final answer
    x = 1,279.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.