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Finding the Fourth Proportional to 2,069.32, 3,103.80 and 770.80

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Solution

The fourth proportional to 2,069.32, 3,103.80 and 770.80 is: 1,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.32 : 3,103.80 = 770.80 : x
  2. Step 2: Convert to fraction form
    2,069.32/3,103.80 = 770.80/x
  3. Step 3: Cross multiply
    2,069.32x = 3,103.80 × 770.80
  4. Step 4: Simplify right side
    2,069.32x = 2,392,409.04
  5. Step 5: Solve for x
    x = 2,392,409.04/2,069.32
  6. Step 6: Final answer
    x = 1,156.13

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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.