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Finding the Fourth Proportional to 9,995.79, 13,783.84 and 8,584.15

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Solution

The fourth proportional to 9,995.79, 13,783.84 and 8,584.15 is: 11,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.79 : 13,783.84 = 8,584.15 : x
  2. Step 2: Convert to fraction form
    9,995.79/13,783.84 = 8,584.15/x
  3. Step 3: Cross multiply
    9,995.79x = 13,783.84 × 8,584.15
  4. Step 4: Simplify right side
    9,995.79x = 118,322,528.68
  5. Step 5: Solve for x
    x = 118,322,528.68/9,995.79
  6. Step 6: Final answer
    x = 11,837.24

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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.