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Finding the Fourth Proportional to 11,902.14, 16,421.94 and 7,185.51

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Solution

The fourth proportional to 11,902.14, 16,421.94 and 7,185.51 is: 9,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.14 : 16,421.94 = 7,185.51 : x
  2. Step 2: Convert to fraction form
    11,902.14/16,421.94 = 7,185.51/x
  3. Step 3: Cross multiply
    11,902.14x = 16,421.94 × 7,185.51
  4. Step 4: Simplify right side
    11,902.14x = 118,000,014.09
  5. Step 5: Solve for x
    x = 118,000,014.09/11,902.14
  6. Step 6: Final answer
    x = 9,914.18

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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.