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Finding the Fourth Proportional to 2,855.80, 4,288.10 and 1,559.80

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Solution

The fourth proportional to 2,855.80, 4,288.10 and 1,559.80 is: 2,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.80 : 4,288.10 = 1,559.80 : x
  2. Step 2: Convert to fraction form
    2,855.80/4,288.10 = 1,559.80/x
  3. Step 3: Cross multiply
    2,855.80x = 4,288.10 × 1,559.80
  4. Step 4: Simplify right side
    2,855.80x = 6,688,578.38
  5. Step 5: Solve for x
    x = 6,688,578.38/2,855.80
  6. Step 6: Final answer
    x = 2,342.10

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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.