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Finding the Fourth Proportional to 11,102.63, 15,321.62 and 6,134.63

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Solution

The fourth proportional to 11,102.63, 15,321.62 and 6,134.63 is: 8,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.63 : 15,321.62 = 6,134.63 : x
  2. Step 2: Convert to fraction form
    11,102.63/15,321.62 = 6,134.63/x
  3. Step 3: Cross multiply
    11,102.63x = 15,321.62 × 6,134.63
  4. Step 4: Simplify right side
    11,102.63x = 93,992,408.43
  5. Step 5: Solve for x
    x = 93,992,408.43/11,102.63
  6. Step 6: Final answer
    x = 8,465.78

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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.