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Finding the Fourth Proportional to 26,436, 39,654 and 10,020

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Solution

The fourth proportional to 26,436, 39,654 and 10,020 is: 15,030

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,436 : 39,654 = 10,020 : x
  2. Step 2: Convert to fraction form
    26,436/39,654 = 10,020/x
  3. Step 3: Cross multiply
    26,436x = 39,654 × 10,020
  4. Step 4: Simplify right side
    26,436x = 397,333,080
  5. Step 5: Solve for x
    x = 397,333,080/26,436
  6. Step 6: Final answer
    x = 15,030

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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.