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Finding the Fourth Proportional to 10,117.86, 13,960.22 and 6,138.86

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Solution

The fourth proportional to 10,117.86, 13,960.22 and 6,138.86 is: 8,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.86 : 13,960.22 = 6,138.86 : x
  2. Step 2: Convert to fraction form
    10,117.86/13,960.22 = 6,138.86/x
  3. Step 3: Cross multiply
    10,117.86x = 13,960.22 × 6,138.86
  4. Step 4: Simplify right side
    10,117.86x = 85,699,836.15
  5. Step 5: Solve for x
    x = 85,699,836.15/10,117.86
  6. Step 6: Final answer
    x = 8,470.15

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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.