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Finding the Fourth Proportional to 3,868.50, 5,332.23 and 3,027.72

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Solution

The fourth proportional to 3,868.50, 5,332.23 and 3,027.72 is: 4,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.50 : 5,332.23 = 3,027.72 : x
  2. Step 2: Convert to fraction form
    3,868.50/5,332.23 = 3,027.72/x
  3. Step 3: Cross multiply
    3,868.50x = 5,332.23 × 3,027.72
  4. Step 4: Simplify right side
    3,868.50x = 16,144,499.42
  5. Step 5: Solve for x
    x = 16,144,499.42/3,868.50
  6. Step 6: Final answer
    x = 4,173.32

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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.