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Finding the Fourth Proportional to 1,776, 2,450.88 and 1,077.44

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Solution

The fourth proportional to 1,776, 2,450.88 and 1,077.44 is: 1,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776 : 2,450.88 = 1,077.44 : x
  2. Step 2: Convert to fraction form
    1,776/2,450.88 = 1,077.44/x
  3. Step 3: Cross multiply
    1,776x = 2,450.88 × 1,077.44
  4. Step 4: Simplify right side
    1,776x = 2,640,676.15
  5. Step 5: Solve for x
    x = 2,640,676.15/1,776
  6. Step 6: Final answer
    x = 1,486.87

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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.