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Finding the Fourth Proportional to 5,676.54, 8,511.72 and 1,977.78

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Solution

The fourth proportional to 5,676.54, 8,511.72 and 1,977.78 is: 2,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.54 : 8,511.72 = 1,977.78 : x
  2. Step 2: Convert to fraction form
    5,676.54/8,511.72 = 1,977.78/x
  3. Step 3: Cross multiply
    5,676.54x = 8,511.72 × 1,977.78
  4. Step 4: Simplify right side
    5,676.54x = 16,834,302.89
  5. Step 5: Solve for x
    x = 16,834,302.89/5,676.54
  6. Step 6: Final answer
    x = 2,965.59

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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.