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Finding the Fourth Proportional to 1,878.44, 2,801.78 and 1,770.03

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Solution

The fourth proportional to 1,878.44, 2,801.78 and 1,770.03 is: 2,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.44 : 2,801.78 = 1,770.03 : x
  2. Step 2: Convert to fraction form
    1,878.44/2,801.78 = 1,770.03/x
  3. Step 3: Cross multiply
    1,878.44x = 2,801.78 × 1,770.03
  4. Step 4: Simplify right side
    1,878.44x = 4,959,225.80
  5. Step 5: Solve for x
    x = 4,959,225.80/1,878.44
  6. Step 6: Final answer
    x = 2,640.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.