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Finding the Fourth Proportional to 10,571.22, 15,890.94 and 8,514.18

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Solution

The fourth proportional to 10,571.22, 15,890.94 and 8,514.18 is: 12,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.22 : 15,890.94 = 8,514.18 : x
  2. Step 2: Convert to fraction form
    10,571.22/15,890.94 = 8,514.18/x
  3. Step 3: Cross multiply
    10,571.22x = 15,890.94 × 8,514.18
  4. Step 4: Simplify right side
    10,571.22x = 135,298,323.53
  5. Step 5: Solve for x
    x = 135,298,323.53/10,571.22
  6. Step 6: Final answer
    x = 12,798.74

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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.