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Finding the Fourth Proportional to 18,123.21, 27,192.65 and 9,809.10

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Solution

The fourth proportional to 18,123.21, 27,192.65 and 9,809.10 is: 14,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123.21 : 27,192.65 = 9,809.10 : x
  2. Step 2: Convert to fraction form
    18,123.21/27,192.65 = 9,809.10/x
  3. Step 3: Cross multiply
    18,123.21x = 27,192.65 × 9,809.10
  4. Step 4: Simplify right side
    18,123.21x = 266,735,423.12
  5. Step 5: Solve for x
    x = 266,735,423.12/18,123.21
  6. Step 6: Final answer
    x = 14,717.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.