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Finding the Fourth Proportional to 7,805.97, 11,711.59 and 3,426.30

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Solution

The fourth proportional to 7,805.97, 11,711.59 and 3,426.30 is: 5,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.97 : 11,711.59 = 3,426.30 : x
  2. Step 2: Convert to fraction form
    7,805.97/11,711.59 = 3,426.30/x
  3. Step 3: Cross multiply
    7,805.97x = 11,711.59 × 3,426.30
  4. Step 4: Simplify right side
    7,805.97x = 40,127,412.25
  5. Step 5: Solve for x
    x = 40,127,412.25/7,805.97
  6. Step 6: Final answer
    x = 5,140.61

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1.5x scale

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.