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Finding the Fourth Proportional to 3,809.40, 5,714.10 and 1,619.16

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Solution

The fourth proportional to 3,809.40, 5,714.10 and 1,619.16 is: 2,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.40 : 5,714.10 = 1,619.16 : x
  2. Step 2: Convert to fraction form
    3,809.40/5,714.10 = 1,619.16/x
  3. Step 3: Cross multiply
    3,809.40x = 5,714.10 × 1,619.16
  4. Step 4: Simplify right side
    3,809.40x = 9,252,042.16
  5. Step 5: Solve for x
    x = 9,252,042.16/3,809.40
  6. Step 6: Final answer
    x = 2,428.74

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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.