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Finding the Fourth Proportional to 3,766.86, 5,646.74 and 1,915.81

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Solution

The fourth proportional to 3,766.86, 5,646.74 and 1,915.81 is: 2,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.86 : 5,646.74 = 1,915.81 : x
  2. Step 2: Convert to fraction form
    3,766.86/5,646.74 = 1,915.81/x
  3. Step 3: Cross multiply
    3,766.86x = 5,646.74 × 1,915.81
  4. Step 4: Simplify right side
    3,766.86x = 10,818,057.26
  5. Step 5: Solve for x
    x = 10,818,057.26/3,766.86
  6. Step 6: Final answer
    x = 2,871.90

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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.