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Finding the Fourth Proportional to 2,095.50, 2,890.69 and 1,255.80

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Solution

The fourth proportional to 2,095.50, 2,890.69 and 1,255.80 is: 1,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.50 : 2,890.69 = 1,255.80 : x
  2. Step 2: Convert to fraction form
    2,095.50/2,890.69 = 1,255.80/x
  3. Step 3: Cross multiply
    2,095.50x = 2,890.69 × 1,255.80
  4. Step 4: Simplify right side
    2,095.50x = 3,630,128.50
  5. Step 5: Solve for x
    x = 3,630,128.50/2,095.50
  6. Step 6: Final answer
    x = 1,732.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.