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Finding the Fourth Proportional to 2,069.24, 3,103.99 and 770.27

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Solution

The fourth proportional to 2,069.24, 3,103.99 and 770.27 is: 1,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.24 : 3,103.99 = 770.27 : x
  2. Step 2: Convert to fraction form
    2,069.24/3,103.99 = 770.27/x
  3. Step 3: Cross multiply
    2,069.24x = 3,103.99 × 770.27
  4. Step 4: Simplify right side
    2,069.24x = 2,390,892.93
  5. Step 5: Solve for x
    x = 2,390,892.93/2,069.24
  6. Step 6: Final answer
    x = 1,155.45

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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.