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Finding the Fourth Proportional to 8,414.70, 12,609.06 and 5,126.94

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Solution

The fourth proportional to 8,414.70, 12,609.06 and 5,126.94 is: 7,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.70 : 12,609.06 = 5,126.94 : x
  2. Step 2: Convert to fraction form
    8,414.70/12,609.06 = 5,126.94/x
  3. Step 3: Cross multiply
    8,414.70x = 12,609.06 × 5,126.94
  4. Step 4: Simplify right side
    8,414.70x = 64,645,894.08
  5. Step 5: Solve for x
    x = 64,645,894.08/8,414.70
  6. Step 6: Final answer
    x = 7,682.50

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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.