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Finding the Fourth Proportional to 7,474.35, 10,239.91 and 7,194.09

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Solution

The fourth proportional to 7,474.35, 10,239.91 and 7,194.09 is: 9,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.35 : 10,239.91 = 7,194.09 : x
  2. Step 2: Convert to fraction form
    7,474.35/10,239.91 = 7,194.09/x
  3. Step 3: Cross multiply
    7,474.35x = 10,239.91 × 7,194.09
  4. Step 4: Simplify right side
    7,474.35x = 73,666,798.16
  5. Step 5: Solve for x
    x = 73,666,798.16/7,474.35
  6. Step 6: Final answer
    x = 9,855.95

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.