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Finding the Fourth Proportional to 2,070.28, 3,104.34 and 771.04

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Solution

The fourth proportional to 2,070.28, 3,104.34 and 771.04 is: 1,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.28 : 3,104.34 = 771.04 : x
  2. Step 2: Convert to fraction form
    2,070.28/3,104.34 = 771.04/x
  3. Step 3: Cross multiply
    2,070.28x = 3,104.34 × 771.04
  4. Step 4: Simplify right side
    2,070.28x = 2,393,570.31
  5. Step 5: Solve for x
    x = 2,393,570.31/2,070.28
  6. Step 6: Final answer
    x = 1,156.16

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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.