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Finding the Fourth Proportional to 3,876.45, 5,813.23 and 1,684.74

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Solution

The fourth proportional to 3,876.45, 5,813.23 and 1,684.74 is: 2,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.45 : 5,813.23 = 1,684.74 : x
  2. Step 2: Convert to fraction form
    3,876.45/5,813.23 = 1,684.74/x
  3. Step 3: Cross multiply
    3,876.45x = 5,813.23 × 1,684.74
  4. Step 4: Simplify right side
    3,876.45x = 9,793,776.90
  5. Step 5: Solve for x
    x = 9,793,776.90/3,876.45
  6. Step 6: Final answer
    x = 2,526.48

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1.5x scale

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.