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Finding the Fourth Proportional to 4,780.85, 7,168.50 and 1,855.74

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Solution

The fourth proportional to 4,780.85, 7,168.50 and 1,855.74 is: 2,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.85 : 7,168.50 = 1,855.74 : x
  2. Step 2: Convert to fraction form
    4,780.85/7,168.50 = 1,855.74/x
  3. Step 3: Cross multiply
    4,780.85x = 7,168.50 × 1,855.74
  4. Step 4: Simplify right side
    4,780.85x = 13,302,872.19
  5. Step 5: Solve for x
    x = 13,302,872.19/4,780.85
  6. Step 6: Final answer
    x = 2,782.53

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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.