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Finding the Fourth Proportional to 7,226, 10,835.40 and 3,525.92

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Solution

The fourth proportional to 7,226, 10,835.40 and 3,525.92 is: 5,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226 : 10,835.40 = 3,525.92 : x
  2. Step 2: Convert to fraction form
    7,226/10,835.40 = 3,525.92/x
  3. Step 3: Cross multiply
    7,226x = 10,835.40 × 3,525.92
  4. Step 4: Simplify right side
    7,226x = 38,204,753.57
  5. Step 5: Solve for x
    x = 38,204,753.57/7,226
  6. Step 6: Final answer
    x = 5,287.12

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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.