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Finding the Fourth Proportional to 3,806.55, 5,255.64 and 2,465.40

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Solution

The fourth proportional to 3,806.55, 5,255.64 and 2,465.40 is: 3,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.55 : 5,255.64 = 2,465.40 : x
  2. Step 2: Convert to fraction form
    3,806.55/5,255.64 = 2,465.40/x
  3. Step 3: Cross multiply
    3,806.55x = 5,255.64 × 2,465.40
  4. Step 4: Simplify right side
    3,806.55x = 12,957,254.86
  5. Step 5: Solve for x
    x = 12,957,254.86/3,806.55
  6. Step 6: Final answer
    x = 3,403.94

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