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Finding the Fourth Proportional to 2,563.50, 3,847.44 and 1,590.42

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Solution

The fourth proportional to 2,563.50, 3,847.44 and 1,590.42 is: 2,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.50 : 3,847.44 = 1,590.42 : x
  2. Step 2: Convert to fraction form
    2,563.50/3,847.44 = 1,590.42/x
  3. Step 3: Cross multiply
    2,563.50x = 3,847.44 × 1,590.42
  4. Step 4: Simplify right side
    2,563.50x = 6,119,045.52
  5. Step 5: Solve for x
    x = 6,119,045.52/2,563.50
  6. Step 6: Final answer
    x = 2,386.99

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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.