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Finding the Fourth Proportional to 12,926, 19,396 and 10,010

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Solution

The fourth proportional to 12,926, 19,396 and 10,010 is: 15,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,926 : 19,396 = 10,010 : x
  2. Step 2: Convert to fraction form
    12,926/19,396 = 10,010/x
  3. Step 3: Cross multiply
    12,926x = 19,396 × 10,010
  4. Step 4: Simplify right side
    12,926x = 194,153,960
  5. Step 5: Solve for x
    x = 194,153,960/12,926
  6. Step 6: Final answer
    x = 15,020.42

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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.