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Finding the Fourth Proportional to 5,676.87, 8,514.77 and 1,780.59

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Solution

The fourth proportional to 5,676.87, 8,514.77 and 1,780.59 is: 2,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.87 : 8,514.77 = 1,780.59 : x
  2. Step 2: Convert to fraction form
    5,676.87/8,514.77 = 1,780.59/x
  3. Step 3: Cross multiply
    5,676.87x = 8,514.77 × 1,780.59
  4. Step 4: Simplify right side
    5,676.87x = 15,161,305.41
  5. Step 5: Solve for x
    x = 15,161,305.41/5,676.87
  6. Step 6: Final answer
    x = 2,670.72

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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.