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Finding the Fourth Proportional to 3,809.84, 5,714.75 and 1,343.32

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Solution

The fourth proportional to 3,809.84, 5,714.75 and 1,343.32 is: 2,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.84 : 5,714.75 = 1,343.32 : x
  2. Step 2: Convert to fraction form
    3,809.84/5,714.75 = 1,343.32/x
  3. Step 3: Cross multiply
    3,809.84x = 5,714.75 × 1,343.32
  4. Step 4: Simplify right side
    3,809.84x = 7,676,727.04
  5. Step 5: Solve for x
    x = 7,676,727.04/3,809.84
  6. Step 6: Final answer
    x = 2,014.98

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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.