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Finding the Fourth Proportional to 3,809.76, 5,714.16 and 1,343.88

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Solution

The fourth proportional to 3,809.76, 5,714.16 and 1,343.88 is: 2,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.76 : 5,714.16 = 1,343.88 : x
  2. Step 2: Convert to fraction form
    3,809.76/5,714.16 = 1,343.88/x
  3. Step 3: Cross multiply
    3,809.76x = 5,714.16 × 1,343.88
  4. Step 4: Simplify right side
    3,809.76x = 7,679,145.34
  5. Step 5: Solve for x
    x = 7,679,145.34/3,809.76
  6. Step 6: Final answer
    x = 2,015.65

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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.