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Finding the Fourth Proportional to 3,714.65, 5,571.98 and 2,778.57

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Solution

The fourth proportional to 3,714.65, 5,571.98 and 2,778.57 is: 4,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.65 : 5,571.98 = 2,778.57 : x
  2. Step 2: Convert to fraction form
    3,714.65/5,571.98 = 2,778.57/x
  3. Step 3: Cross multiply
    3,714.65x = 5,571.98 × 2,778.57
  4. Step 4: Simplify right side
    3,714.65x = 15,482,094.72
  5. Step 5: Solve for x
    x = 15,482,094.72/3,714.65
  6. Step 6: Final answer
    x = 4,167.85

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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.