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Finding the Fourth Proportional to 5,110.88, 7,666.92 and 1,824.30

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Solution

The fourth proportional to 5,110.88, 7,666.92 and 1,824.30 is: 2,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.88 : 7,666.92 = 1,824.30 : x
  2. Step 2: Convert to fraction form
    5,110.88/7,666.92 = 1,824.30/x
  3. Step 3: Cross multiply
    5,110.88x = 7,666.92 × 1,824.30
  4. Step 4: Simplify right side
    5,110.88x = 13,986,762.16
  5. Step 5: Solve for x
    x = 13,986,762.16/5,110.88
  6. Step 6: Final answer
    x = 2,736.66

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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.