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Finding the Fourth Proportional to 9,769.98, 13,479.03 and 6,234.78

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Solution

The fourth proportional to 9,769.98, 13,479.03 and 6,234.78 is: 8,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.98 : 13,479.03 = 6,234.78 : x
  2. Step 2: Convert to fraction form
    9,769.98/13,479.03 = 6,234.78/x
  3. Step 3: Cross multiply
    9,769.98x = 13,479.03 × 6,234.78
  4. Step 4: Simplify right side
    9,769.98x = 84,038,786.66
  5. Step 5: Solve for x
    x = 84,038,786.66/9,769.98
  6. Step 6: Final answer
    x = 8,601.74

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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.