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Finding the Fourth Proportional to 19,620, 27,074.72 and 11,122.00

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Solution

The fourth proportional to 19,620, 27,074.72 and 11,122.00 is: 15,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,620 : 27,074.72 = 11,122.00 : x
  2. Step 2: Convert to fraction form
    19,620/27,074.72 = 11,122.00/x
  3. Step 3: Cross multiply
    19,620x = 27,074.72 × 11,122.00
  4. Step 4: Simplify right side
    19,620x = 301,124,995.96
  5. Step 5: Solve for x
    x = 301,124,995.96/19,620
  6. Step 6: Final answer
    x = 15,347.86

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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.