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Finding the Fourth Proportional to 2,884.76, 4,320.86 and 1,786.80

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Solution

The fourth proportional to 2,884.76, 4,320.86 and 1,786.80 is: 2,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.76 : 4,320.86 = 1,786.80 : x
  2. Step 2: Convert to fraction form
    2,884.76/4,320.86 = 1,786.80/x
  3. Step 3: Cross multiply
    2,884.76x = 4,320.86 × 1,786.80
  4. Step 4: Simplify right side
    2,884.76x = 7,720,503.71
  5. Step 5: Solve for x
    x = 7,720,503.71/2,884.76
  6. Step 6: Final answer
    x = 2,676.31

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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.