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Finding the Fourth Proportional to 3,809.39, 5,714.76 and 1,345.64

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Solution

The fourth proportional to 3,809.39, 5,714.76 and 1,345.64 is: 2,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.39 : 5,714.76 = 1,345.64 : x
  2. Step 2: Convert to fraction form
    3,809.39/5,714.76 = 1,345.64/x
  3. Step 3: Cross multiply
    3,809.39x = 5,714.76 × 1,345.64
  4. Step 4: Simplify right side
    3,809.39x = 7,690,009.65
  5. Step 5: Solve for x
    x = 7,690,009.65/3,809.39
  6. Step 6: Final answer
    x = 2,018.70

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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.