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Finding the Fourth Proportional to 2,829, 4,243.50 and 2,655.87

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Solution

The fourth proportional to 2,829, 4,243.50 and 2,655.87 is: 3,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829 : 4,243.50 = 2,655.87 : x
  2. Step 2: Convert to fraction form
    2,829/4,243.50 = 2,655.87/x
  3. Step 3: Cross multiply
    2,829x = 4,243.50 × 2,655.87
  4. Step 4: Simplify right side
    2,829x = 11,270,184.35
  5. Step 5: Solve for x
    x = 11,270,184.35/2,829
  6. Step 6: Final answer
    x = 3,983.81

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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.