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Finding the Fourth Proportional to 2,137.76, 3,206.24 and 577.86

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Solution

The fourth proportional to 2,137.76, 3,206.24 and 577.86 is: 866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.76 : 3,206.24 = 577.86 : x
  2. Step 2: Convert to fraction form
    2,137.76/3,206.24 = 577.86/x
  3. Step 3: Cross multiply
    2,137.76x = 3,206.24 × 577.86
  4. Step 4: Simplify right side
    2,137.76x = 1,852,757.85
  5. Step 5: Solve for x
    x = 1,852,757.85/2,137.76
  6. Step 6: Final answer
    x = 866.68

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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.