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Finding the Fourth Proportional to 2,085.78, 2,878.20 and 1,201.44

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Solution

The fourth proportional to 2,085.78, 2,878.20 and 1,201.44 is: 1,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.78 : 2,878.20 = 1,201.44 : x
  2. Step 2: Convert to fraction form
    2,085.78/2,878.20 = 1,201.44/x
  3. Step 3: Cross multiply
    2,085.78x = 2,878.20 × 1,201.44
  4. Step 4: Simplify right side
    2,085.78x = 3,457,984.61
  5. Step 5: Solve for x
    x = 3,457,984.61/2,085.78
  6. Step 6: Final answer
    x = 1,657.89

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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.