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Finding the Fourth Proportional to 8,111.40, 11,379 and 8,111.40

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Solution

The fourth proportional to 8,111.40, 11,379 and 8,111.40 is: 11,379

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.40 : 11,379 = 8,111.40 : x
  2. Step 2: Convert to fraction form
    8,111.40/11,379 = 8,111.40/x
  3. Step 3: Cross multiply
    8,111.40x = 11,379 × 8,111.40
  4. Step 4: Simplify right side
    8,111.40x = 92,299,620.60
  5. Step 5: Solve for x
    x = 92,299,620.60/8,111.40
  6. Step 6: Final answer
    x = 11,379

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.