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Finding the Fourth Proportional to 3,416, 4,714.08 and 2,019.60

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Solution

The fourth proportional to 3,416, 4,714.08 and 2,019.60 is: 2,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416 : 4,714.08 = 2,019.60 : x
  2. Step 2: Convert to fraction form
    3,416/4,714.08 = 2,019.60/x
  3. Step 3: Cross multiply
    3,416x = 4,714.08 × 2,019.60
  4. Step 4: Simplify right side
    3,416x = 9,520,555.97
  5. Step 5: Solve for x
    x = 9,520,555.97/3,416
  6. Step 6: Final answer
    x = 2,787.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.