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Finding the Fourth Proportional to 9,930.86, 13,704.80 and 5,454.86

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Solution

The fourth proportional to 9,930.86, 13,704.80 and 5,454.86 is: 7,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.86 : 13,704.80 = 5,454.86 : x
  2. Step 2: Convert to fraction form
    9,930.86/13,704.80 = 5,454.86/x
  3. Step 3: Cross multiply
    9,930.86x = 13,704.80 × 5,454.86
  4. Step 4: Simplify right side
    9,930.86x = 74,757,723.32
  5. Step 5: Solve for x
    x = 74,757,723.32/9,930.86
  6. Step 6: Final answer
    x = 7,527.82

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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.