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Finding the Fourth Proportional to 19,860.31, 27,407.42 and 10,908

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Solution

The fourth proportional to 19,860.31, 27,407.42 and 10,908 is: 15,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,860.31 : 27,407.42 = 10,908 : x
  2. Step 2: Convert to fraction form
    19,860.31/27,407.42 = 10,908/x
  3. Step 3: Cross multiply
    19,860.31x = 27,407.42 × 10,908
  4. Step 4: Simplify right side
    19,860.31x = 298,960,137.36
  5. Step 5: Solve for x
    x = 298,960,137.36/19,860.31
  6. Step 6: Final answer
    x = 15,053.15

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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.