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Finding the Fourth Proportional to 2,803.79, 3,868.42 and 1,809.65

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Solution

The fourth proportional to 2,803.79, 3,868.42 and 1,809.65 is: 2,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.79 : 3,868.42 = 1,809.65 : x
  2. Step 2: Convert to fraction form
    2,803.79/3,868.42 = 1,809.65/x
  3. Step 3: Cross multiply
    2,803.79x = 3,868.42 × 1,809.65
  4. Step 4: Simplify right side
    2,803.79x = 7,000,486.25
  5. Step 5: Solve for x
    x = 7,000,486.25/2,803.79
  6. Step 6: Final answer
    x = 2,496.79

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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.