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Finding the Fourth Proportional to 2,070.88, 3,105.50 and 771.64

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Solution

The fourth proportional to 2,070.88, 3,105.50 and 771.64 is: 1,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.88 : 3,105.50 = 771.64 : x
  2. Step 2: Convert to fraction form
    2,070.88/3,105.50 = 771.64/x
  3. Step 3: Cross multiply
    2,070.88x = 3,105.50 × 771.64
  4. Step 4: Simplify right side
    2,070.88x = 2,396,328.02
  5. Step 5: Solve for x
    x = 2,396,328.02/2,070.88
  6. Step 6: Final answer
    x = 1,157.15

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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.