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Finding the Fourth Proportional to 5,478.56, 8,218 and 1,780.96

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Solution

The fourth proportional to 5,478.56, 8,218 and 1,780.96 is: 2,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.56 : 8,218 = 1,780.96 : x
  2. Step 2: Convert to fraction form
    5,478.56/8,218 = 1,780.96/x
  3. Step 3: Cross multiply
    5,478.56x = 8,218 × 1,780.96
  4. Step 4: Simplify right side
    5,478.56x = 14,635,929.28
  5. Step 5: Solve for x
    x = 14,635,929.28/5,478.56
  6. Step 6: Final answer
    x = 2,671.49

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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.