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Finding the Fourth Proportional to 8,259.49, 11,382.35 and 8,107.65

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Solution

The fourth proportional to 8,259.49, 11,382.35 and 8,107.65 is: 11,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.49 : 11,382.35 = 8,107.65 : x
  2. Step 2: Convert to fraction form
    8,259.49/11,382.35 = 8,107.65/x
  3. Step 3: Cross multiply
    8,259.49x = 11,382.35 × 8,107.65
  4. Step 4: Simplify right side
    8,259.49x = 92,284,089.71
  5. Step 5: Solve for x
    x = 92,284,089.71/8,259.49
  6. Step 6: Final answer
    x = 11,173.10

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1.5x scale

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.