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Finding the Fourth Proportional to 5,676.28, 8,514.66 and 1,978.88

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Solution

The fourth proportional to 5,676.28, 8,514.66 and 1,978.88 is: 2,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.28 : 8,514.66 = 1,978.88 : x
  2. Step 2: Convert to fraction form
    5,676.28/8,514.66 = 1,978.88/x
  3. Step 3: Cross multiply
    5,676.28x = 8,514.66 × 1,978.88
  4. Step 4: Simplify right side
    5,676.28x = 16,849,490.38
  5. Step 5: Solve for x
    x = 16,849,490.38/5,676.28
  6. Step 6: Final answer
    x = 2,968.40

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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.