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Finding the Fourth Proportional to 19,654.50, 27,123.21 and 10,822.50

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Solution

The fourth proportional to 19,654.50, 27,123.21 and 10,822.50 is: 14,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.50 : 27,123.21 = 10,822.50 : x
  2. Step 2: Convert to fraction form
    19,654.50/27,123.21 = 10,822.50/x
  3. Step 3: Cross multiply
    19,654.50x = 27,123.21 × 10,822.50
  4. Step 4: Simplify right side
    19,654.50x = 293,540,940.23
  5. Step 5: Solve for x
    x = 293,540,940.23/19,654.50
  6. Step 6: Final answer
    x = 14,935.05

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1.5x scale

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.