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Finding the Fourth Proportional to 8,570.70, 12,856.97 and 2,725.94

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Solution

The fourth proportional to 8,570.70, 12,856.97 and 2,725.94 is: 4,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.70 : 12,856.97 = 2,725.94 : x
  2. Step 2: Convert to fraction form
    8,570.70/12,856.97 = 2,725.94/x
  3. Step 3: Cross multiply
    8,570.70x = 12,856.97 × 2,725.94
  4. Step 4: Simplify right side
    8,570.70x = 35,047,367.76
  5. Step 5: Solve for x
    x = 35,047,367.76/8,570.70
  6. Step 6: Final answer
    x = 4,089.21

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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.