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Finding the Fourth Proportional to 8,540, 12,808.50 and 2,300.46

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Solution

The fourth proportional to 8,540, 12,808.50 and 2,300.46 is: 3,450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540 : 12,808.50 = 2,300.46 : x
  2. Step 2: Convert to fraction form
    8,540/12,808.50 = 2,300.46/x
  3. Step 3: Cross multiply
    8,540x = 12,808.50 × 2,300.46
  4. Step 4: Simplify right side
    8,540x = 29,465,441.91
  5. Step 5: Solve for x
    x = 29,465,441.91/8,540
  6. Step 6: Final answer
    x = 3,450.29

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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.