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Finding the Fourth Proportional to 10,573.26, 15,847.89 and 8,215.74

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Solution

The fourth proportional to 10,573.26, 15,847.89 and 8,215.74 is: 12,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.26 : 15,847.89 = 8,215.74 : x
  2. Step 2: Convert to fraction form
    10,573.26/15,847.89 = 8,215.74/x
  3. Step 3: Cross multiply
    10,573.26x = 15,847.89 × 8,215.74
  4. Step 4: Simplify right side
    10,573.26x = 130,202,143.79
  5. Step 5: Solve for x
    x = 130,202,143.79/10,573.26
  6. Step 6: Final answer
    x = 12,314.29

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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.