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Finding the Fourth Proportional to 19,854.74, 27,400 and 10,902.88

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Solution

The fourth proportional to 19,854.74, 27,400 and 10,902.88 is: 15,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.74 : 27,400 = 10,902.88 : x
  2. Step 2: Convert to fraction form
    19,854.74/27,400 = 10,902.88/x
  3. Step 3: Cross multiply
    19,854.74x = 27,400 × 10,902.88
  4. Step 4: Simplify right side
    19,854.74x = 298,738,912
  5. Step 5: Solve for x
    x = 298,738,912/19,854.74
  6. Step 6: Final answer
    x = 15,046.23

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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.