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Finding the Fourth Proportional to 2,855.65, 4,283.48 and 1,757.71

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Solution

The fourth proportional to 2,855.65, 4,283.48 and 1,757.71 is: 2,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.65 : 4,283.48 = 1,757.71 : x
  2. Step 2: Convert to fraction form
    2,855.65/4,283.48 = 1,757.71/x
  3. Step 3: Cross multiply
    2,855.65x = 4,283.48 × 1,757.71
  4. Step 4: Simplify right side
    2,855.65x = 7,529,118.79
  5. Step 5: Solve for x
    x = 7,529,118.79/2,855.65
  6. Step 6: Final answer
    x = 2,636.57

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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.