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Finding the Fourth Proportional to 1,939.93, 2,911.48 and 770.73

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Solution

The fourth proportional to 1,939.93, 2,911.48 and 770.73 is: 1,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.93 : 2,911.48 = 770.73 : x
  2. Step 2: Convert to fraction form
    1,939.93/2,911.48 = 770.73/x
  3. Step 3: Cross multiply
    1,939.93x = 2,911.48 × 770.73
  4. Step 4: Simplify right side
    1,939.93x = 2,243,966.91
  5. Step 5: Solve for x
    x = 2,243,966.91/1,939.93
  6. Step 6: Final answer
    x = 1,156.73

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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.