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Finding the Fourth Proportional to 5,676.42, 8,511.90 and 1,978.58

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Solution

The fourth proportional to 5,676.42, 8,511.90 and 1,978.58 is: 2,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.42 : 8,511.90 = 1,978.58 : x
  2. Step 2: Convert to fraction form
    5,676.42/8,511.90 = 1,978.58/x
  3. Step 3: Cross multiply
    5,676.42x = 8,511.90 × 1,978.58
  4. Step 4: Simplify right side
    5,676.42x = 16,841,475.10
  5. Step 5: Solve for x
    x = 16,841,475.10/5,676.42
  6. Step 6: Final answer
    x = 2,966.92

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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.