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Finding the Fourth Proportional to 5,478.63, 8,213.84 and 1,778.65

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Solution

The fourth proportional to 5,478.63, 8,213.84 and 1,778.65 is: 2,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.63 : 8,213.84 = 1,778.65 : x
  2. Step 2: Convert to fraction form
    5,478.63/8,213.84 = 1,778.65/x
  3. Step 3: Cross multiply
    5,478.63x = 8,213.84 × 1,778.65
  4. Step 4: Simplify right side
    5,478.63x = 14,609,496.55
  5. Step 5: Solve for x
    x = 14,609,496.55/5,478.63
  6. Step 6: Final answer
    x = 2,666.64

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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.