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Finding the Fourth Proportional to 2,975.59, 4,474.31 and 2,855.30

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Solution

The fourth proportional to 2,975.59, 4,474.31 and 2,855.30 is: 4,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.59 : 4,474.31 = 2,855.30 : x
  2. Step 2: Convert to fraction form
    2,975.59/4,474.31 = 2,855.30/x
  3. Step 3: Cross multiply
    2,975.59x = 4,474.31 × 2,855.30
  4. Step 4: Simplify right side
    2,975.59x = 12,775,509.95
  5. Step 5: Solve for x
    x = 12,775,509.95/2,975.59
  6. Step 6: Final answer
    x = 4,293.44

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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.