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Finding the Fourth Proportional to 9,999.12, 13,857.18 and 9,858.18

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Solution

The fourth proportional to 9,999.12, 13,857.18 and 9,858.18 is: 13,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.12 : 13,857.18 = 9,858.18 : x
  2. Step 2: Convert to fraction form
    9,999.12/13,857.18 = 9,858.18/x
  3. Step 3: Cross multiply
    9,999.12x = 13,857.18 × 9,858.18
  4. Step 4: Simplify right side
    9,999.12x = 136,606,574.73
  5. Step 5: Solve for x
    x = 136,606,574.73/9,999.12
  6. Step 6: Final answer
    x = 13,661.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.