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Finding the Fourth Proportional to 9,886.12, 13,625.76 and 8,619.28

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Solution

The fourth proportional to 9,886.12, 13,625.76 and 8,619.28 is: 11,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.12 : 13,625.76 = 8,619.28 : x
  2. Step 2: Convert to fraction form
    9,886.12/13,625.76 = 8,619.28/x
  3. Step 3: Cross multiply
    9,886.12x = 13,625.76 × 8,619.28
  4. Step 4: Simplify right side
    9,886.12x = 117,444,240.65
  5. Step 5: Solve for x
    x = 117,444,240.65/9,886.12
  6. Step 6: Final answer
    x = 11,879.71

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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.