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Finding the Fourth Proportional to 3,868.41, 5,803.14 and 1,402.57

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Solution

The fourth proportional to 3,868.41, 5,803.14 and 1,402.57 is: 2,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.41 : 5,803.14 = 1,402.57 : x
  2. Step 2: Convert to fraction form
    3,868.41/5,803.14 = 1,402.57/x
  3. Step 3: Cross multiply
    3,868.41x = 5,803.14 × 1,402.57
  4. Step 4: Simplify right side
    3,868.41x = 8,139,289.94
  5. Step 5: Solve for x
    x = 8,139,289.94/3,868.41
  6. Step 6: Final answer
    x = 2,104.04

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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.