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Finding the Fourth Proportional to 5,676.32, 8,514.58 and 1,780.76

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Solution

The fourth proportional to 5,676.32, 8,514.58 and 1,780.76 is: 2,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.32 : 8,514.58 = 1,780.76 : x
  2. Step 2: Convert to fraction form
    5,676.32/8,514.58 = 1,780.76/x
  3. Step 3: Cross multiply
    5,676.32x = 8,514.58 × 1,780.76
  4. Step 4: Simplify right side
    5,676.32x = 15,162,423.48
  5. Step 5: Solve for x
    x = 15,162,423.48/5,676.32
  6. Step 6: Final answer
    x = 2,671.17

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Double scale
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Similar ratio
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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.