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Finding the Fourth Proportional to 19,655, 27,123.90 and 10,823

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Solution

The fourth proportional to 19,655, 27,123.90 and 10,823 is: 14,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655 : 27,123.90 = 10,823 : x
  2. Step 2: Convert to fraction form
    19,655/27,123.90 = 10,823/x
  3. Step 3: Cross multiply
    19,655x = 27,123.90 × 10,823
  4. Step 4: Simplify right side
    19,655x = 293,561,969.70
  5. Step 5: Solve for x
    x = 293,561,969.70/19,655
  6. Step 6: Final answer
    x = 14,935.74

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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.