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Finding the Fourth Proportional to 11,407.41, 15,742.08 and 8,046.72

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Solution

The fourth proportional to 11,407.41, 15,742.08 and 8,046.72 is: 11,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.41 : 15,742.08 = 8,046.72 : x
  2. Step 2: Convert to fraction form
    11,407.41/15,742.08 = 8,046.72/x
  3. Step 3: Cross multiply
    11,407.41x = 15,742.08 × 8,046.72
  4. Step 4: Simplify right side
    11,407.41x = 126,672,109.98
  5. Step 5: Solve for x
    x = 126,672,109.98/11,407.41
  6. Step 6: Final answer
    x = 11,104.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.