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Finding the Fourth Proportional to 5,142.67, 7,713.11 and 1,855.28

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Solution

The fourth proportional to 5,142.67, 7,713.11 and 1,855.28 is: 2,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.67 : 7,713.11 = 1,855.28 : x
  2. Step 2: Convert to fraction form
    5,142.67/7,713.11 = 1,855.28/x
  3. Step 3: Cross multiply
    5,142.67x = 7,713.11 × 1,855.28
  4. Step 4: Simplify right side
    5,142.67x = 14,310,002.64
  5. Step 5: Solve for x
    x = 14,310,002.64/5,142.67
  6. Step 6: Final answer
    x = 2,782.60

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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.