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Finding the Fourth Proportional to 10,370.96, 15,543.44 and 8,171

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Solution

The fourth proportional to 10,370.96, 15,543.44 and 8,171 is: 12,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.96 : 15,543.44 = 8,171 : x
  2. Step 2: Convert to fraction form
    10,370.96/15,543.44 = 8,171/x
  3. Step 3: Cross multiply
    10,370.96x = 15,543.44 × 8,171
  4. Step 4: Simplify right side
    10,370.96x = 127,005,448.24
  5. Step 5: Solve for x
    x = 127,005,448.24/10,370.96
  6. Step 6: Final answer
    x = 12,246.26

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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.