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Finding the Fourth Proportional to 3,810.60, 5,720.94 and 3,766.68

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Solution

The fourth proportional to 3,810.60, 5,720.94 and 3,766.68 is: 5,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.60 : 5,720.94 = 3,766.68 : x
  2. Step 2: Convert to fraction form
    3,810.60/5,720.94 = 3,766.68/x
  3. Step 3: Cross multiply
    3,810.60x = 5,720.94 × 3,766.68
  4. Step 4: Simplify right side
    3,810.60x = 21,548,950.28
  5. Step 5: Solve for x
    x = 21,548,950.28/3,810.60
  6. Step 6: Final answer
    x = 5,655.00

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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.