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Finding the Fourth Proportional to 11,697.14, 16,141.80 and 6,391.98

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Solution

The fourth proportional to 11,697.14, 16,141.80 and 6,391.98 is: 8,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.14 : 16,141.80 = 6,391.98 : x
  2. Step 2: Convert to fraction form
    11,697.14/16,141.80 = 6,391.98/x
  3. Step 3: Cross multiply
    11,697.14x = 16,141.80 × 6,391.98
  4. Step 4: Simplify right side
    11,697.14x = 103,178,062.76
  5. Step 5: Solve for x
    x = 103,178,062.76/11,697.14
  6. Step 6: Final answer
    x = 8,820.79

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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.