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Finding the Fourth Proportional to 3,190.88, 4,780.56 and 1,820

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Solution

The fourth proportional to 3,190.88, 4,780.56 and 1,820 is: 2,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.88 : 4,780.56 = 1,820 : x
  2. Step 2: Convert to fraction form
    3,190.88/4,780.56 = 1,820/x
  3. Step 3: Cross multiply
    3,190.88x = 4,780.56 × 1,820
  4. Step 4: Simplify right side
    3,190.88x = 8,700,619.20
  5. Step 5: Solve for x
    x = 8,700,619.20/3,190.88
  6. Step 6: Final answer
    x = 2,726.71

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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.