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Finding the Fourth Proportional to 13,992, 20,990.40 and 6,094.08

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Solution

The fourth proportional to 13,992, 20,990.40 and 6,094.08 is: 9,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992 : 20,990.40 = 6,094.08 : x
  2. Step 2: Convert to fraction form
    13,992/20,990.40 = 6,094.08/x
  3. Step 3: Cross multiply
    13,992x = 20,990.40 × 6,094.08
  4. Step 4: Simplify right side
    13,992x = 127,917,176.83
  5. Step 5: Solve for x
    x = 127,917,176.83/13,992
  6. Step 6: Final answer
    x = 9,142.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.