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Finding the Fourth Proportional to 2,843.62, 3,923.10 and 1,780.94

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Solution

The fourth proportional to 2,843.62, 3,923.10 and 1,780.94 is: 2,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.62 : 3,923.10 = 1,780.94 : x
  2. Step 2: Convert to fraction form
    2,843.62/3,923.10 = 1,780.94/x
  3. Step 3: Cross multiply
    2,843.62x = 3,923.10 × 1,780.94
  4. Step 4: Simplify right side
    2,843.62x = 6,986,805.71
  5. Step 5: Solve for x
    x = 6,986,805.71/2,843.62
  6. Step 6: Final answer
    x = 2,457.01

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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.