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Finding the Fourth Proportional to 2,511.76, 3,768.20 and 780.56

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Solution

The fourth proportional to 2,511.76, 3,768.20 and 780.56 is: 1,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.76 : 3,768.20 = 780.56 : x
  2. Step 2: Convert to fraction form
    2,511.76/3,768.20 = 780.56/x
  3. Step 3: Cross multiply
    2,511.76x = 3,768.20 × 780.56
  4. Step 4: Simplify right side
    2,511.76x = 2,941,306.19
  5. Step 5: Solve for x
    x = 2,941,306.19/2,511.76
  6. Step 6: Final answer
    x = 1,171.01

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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.