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Finding the Fourth Proportional to 4,519.59, 6,780.59 and 4,085.83

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Solution

The fourth proportional to 4,519.59, 6,780.59 and 4,085.83 is: 6,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.59 : 6,780.59 = 4,085.83 : x
  2. Step 2: Convert to fraction form
    4,519.59/6,780.59 = 4,085.83/x
  3. Step 3: Cross multiply
    4,519.59x = 6,780.59 × 4,085.83
  4. Step 4: Simplify right side
    4,519.59x = 27,704,338.04
  5. Step 5: Solve for x
    x = 27,704,338.04/4,519.59
  6. Step 6: Final answer
    x = 6,129.83

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1.5x scale

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.