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Finding the Fourth Proportional to 8,265, 11,405.70 and 4,539

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Solution

The fourth proportional to 8,265, 11,405.70 and 4,539 is: 6,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265 : 11,405.70 = 4,539 : x
  2. Step 2: Convert to fraction form
    8,265/11,405.70 = 4,539/x
  3. Step 3: Cross multiply
    8,265x = 11,405.70 × 4,539
  4. Step 4: Simplify right side
    8,265x = 51,770,472.30
  5. Step 5: Solve for x
    x = 51,770,472.30/8,265
  6. Step 6: Final answer
    x = 6,263.82

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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.