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Finding the Fourth Proportional to 6,312.88, 8,711.77 and 3,661.82

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Solution

The fourth proportional to 6,312.88, 8,711.77 and 3,661.82 is: 5,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.88 : 8,711.77 = 3,661.82 : x
  2. Step 2: Convert to fraction form
    6,312.88/8,711.77 = 3,661.82/x
  3. Step 3: Cross multiply
    6,312.88x = 8,711.77 × 3,661.82
  4. Step 4: Simplify right side
    6,312.88x = 31,900,933.62
  5. Step 5: Solve for x
    x = 31,900,933.62/6,312.88
  6. Step 6: Final answer
    x = 5,053.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.