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Finding the Fourth Proportional to 3,862.63, 5,803.17 and 2,478.67

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Solution

The fourth proportional to 3,862.63, 5,803.17 and 2,478.67 is: 3,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.63 : 5,803.17 = 2,478.67 : x
  2. Step 2: Convert to fraction form
    3,862.63/5,803.17 = 2,478.67/x
  3. Step 3: Cross multiply
    3,862.63x = 5,803.17 × 2,478.67
  4. Step 4: Simplify right side
    3,862.63x = 14,384,128.88
  5. Step 5: Solve for x
    x = 14,384,128.88/3,862.63
  6. Step 6: Final answer
    x = 3,723.92

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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.