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Finding the Fourth Proportional to 8,570.70, 12,856.08 and 3,021.03

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Solution

The fourth proportional to 8,570.70, 12,856.08 and 3,021.03 is: 4,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.70 : 12,856.08 = 3,021.03 : x
  2. Step 2: Convert to fraction form
    8,570.70/12,856.08 = 3,021.03/x
  3. Step 3: Cross multiply
    8,570.70x = 12,856.08 × 3,021.03
  4. Step 4: Simplify right side
    8,570.70x = 38,838,614.69
  5. Step 5: Solve for x
    x = 38,838,614.69/8,570.70
  6. Step 6: Final answer
    x = 4,531.56

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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.