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Finding the Fourth Proportional to 11,654.70, 17,394 and 10,864.65

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Solution

The fourth proportional to 11,654.70, 17,394 and 10,864.65 is: 16,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.70 : 17,394 = 10,864.65 : x
  2. Step 2: Convert to fraction form
    11,654.70/17,394 = 10,864.65/x
  3. Step 3: Cross multiply
    11,654.70x = 17,394 × 10,864.65
  4. Step 4: Simplify right side
    11,654.70x = 188,979,722.10
  5. Step 5: Solve for x
    x = 188,979,722.10/11,654.70
  6. Step 6: Final answer
    x = 16,214.89

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.