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Finding the Fourth Proportional to 7,900, 11,852.19 and 3,456.87

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Solution

The fourth proportional to 7,900, 11,852.19 and 3,456.87 is: 5,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900 : 11,852.19 = 3,456.87 : x
  2. Step 2: Convert to fraction form
    7,900/11,852.19 = 3,456.87/x
  3. Step 3: Cross multiply
    7,900x = 11,852.19 × 3,456.87
  4. Step 4: Simplify right side
    7,900x = 40,971,478.19
  5. Step 5: Solve for x
    x = 40,971,478.19/7,900
  6. Step 6: Final answer
    x = 5,186.26

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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.