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Finding the Fourth Proportional to 3,884.85, 5,823.78 and 1,417.94

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Solution

The fourth proportional to 3,884.85, 5,823.78 and 1,417.94 is: 2,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.85 : 5,823.78 = 1,417.94 : x
  2. Step 2: Convert to fraction form
    3,884.85/5,823.78 = 1,417.94/x
  3. Step 3: Cross multiply
    3,884.85x = 5,823.78 × 1,417.94
  4. Step 4: Simplify right side
    3,884.85x = 8,257,763.52
  5. Step 5: Solve for x
    x = 8,257,763.52/3,884.85
  6. Step 6: Final answer
    x = 2,125.63

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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.