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Finding the Fourth Proportional to 2,809.65, 3,873.71 and 2,303.65

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Solution

The fourth proportional to 2,809.65, 3,873.71 and 2,303.65 is: 3,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.65 : 3,873.71 = 2,303.65 : x
  2. Step 2: Convert to fraction form
    2,809.65/3,873.71 = 2,303.65/x
  3. Step 3: Cross multiply
    2,809.65x = 3,873.71 × 2,303.65
  4. Step 4: Simplify right side
    2,809.65x = 8,923,660.85
  5. Step 5: Solve for x
    x = 8,923,660.85/2,809.65
  6. Step 6: Final answer
    x = 3,176.07

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1.5x scale

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.