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Finding the Fourth Proportional to 10,162.17, 13,999.64 and 9,661.86

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Solution

The fourth proportional to 10,162.17, 13,999.64 and 9,661.86 is: 13,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.17 : 13,999.64 = 9,661.86 : x
  2. Step 2: Convert to fraction form
    10,162.17/13,999.64 = 9,661.86/x
  3. Step 3: Cross multiply
    10,162.17x = 13,999.64 × 9,661.86
  4. Step 4: Simplify right side
    10,162.17x = 135,262,513.42
  5. Step 5: Solve for x
    x = 135,262,513.42/10,162.17
  6. Step 6: Final answer
    x = 13,310.40

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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.