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Finding the Fourth Proportional to 8,111.43, 11,193.78 and 4,385.43

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Solution

The fourth proportional to 8,111.43, 11,193.78 and 4,385.43 is: 6,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.43 : 11,193.78 = 4,385.43 : x
  2. Step 2: Convert to fraction form
    8,111.43/11,193.78 = 4,385.43/x
  3. Step 3: Cross multiply
    8,111.43x = 11,193.78 × 4,385.43
  4. Step 4: Simplify right side
    8,111.43x = 49,089,538.63
  5. Step 5: Solve for x
    x = 49,089,538.63/8,111.43
  6. Step 6: Final answer
    x = 6,051.90

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Half scale
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Double scale
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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.