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Finding the Fourth Proportional to 3,092.55, 4,640 and 1,860.81

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Solution

The fourth proportional to 3,092.55, 4,640 and 1,860.81 is: 2,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.55 : 4,640 = 1,860.81 : x
  2. Step 2: Convert to fraction form
    3,092.55/4,640 = 1,860.81/x
  3. Step 3: Cross multiply
    3,092.55x = 4,640 × 1,860.81
  4. Step 4: Simplify right side
    3,092.55x = 8,634,158.40
  5. Step 5: Solve for x
    x = 8,634,158.40/3,092.55
  6. Step 6: Final answer
    x = 2,791.92

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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.