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Finding the Fourth Proportional to 3,766.80, 5,200.14 and 2,925.62

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Solution

The fourth proportional to 3,766.80, 5,200.14 and 2,925.62 is: 4,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.80 : 5,200.14 = 2,925.62 : x
  2. Step 2: Convert to fraction form
    3,766.80/5,200.14 = 2,925.62/x
  3. Step 3: Cross multiply
    3,766.80x = 5,200.14 × 2,925.62
  4. Step 4: Simplify right side
    3,766.80x = 15,213,633.59
  5. Step 5: Solve for x
    x = 15,213,633.59/3,766.80
  6. Step 6: Final answer
    x = 4,038.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.