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Finding the Fourth Proportional to 7,808.50, 11,712.45 and 3,426

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Solution

The fourth proportional to 7,808.50, 11,712.45 and 3,426 is: 5,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.50 : 11,712.45 = 3,426 : x
  2. Step 2: Convert to fraction form
    7,808.50/11,712.45 = 3,426/x
  3. Step 3: Cross multiply
    7,808.50x = 11,712.45 × 3,426
  4. Step 4: Simplify right side
    7,808.50x = 40,126,853.70
  5. Step 5: Solve for x
    x = 40,126,853.70/7,808.50
  6. Step 6: Final answer
    x = 5,138.87

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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.