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Finding the Fourth Proportional to 8,384.10, 12,576.14 and 2,143.88

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Solution

The fourth proportional to 8,384.10, 12,576.14 and 2,143.88 is: 3,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.10 : 12,576.14 = 2,143.88 : x
  2. Step 2: Convert to fraction form
    8,384.10/12,576.14 = 2,143.88/x
  3. Step 3: Cross multiply
    8,384.10x = 12,576.14 × 2,143.88
  4. Step 4: Simplify right side
    8,384.10x = 26,961,735.02
  5. Step 5: Solve for x
    x = 26,961,735.02/8,384.10
  6. Step 6: Final answer
    x = 3,215.82

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1.5x scale

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.