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Finding the Fourth Proportional to 19,222, 26,526.36 and 10,390

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Solution

The fourth proportional to 19,222, 26,526.36 and 10,390 is: 14,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,222 : 26,526.36 = 10,390 : x
  2. Step 2: Convert to fraction form
    19,222/26,526.36 = 10,390/x
  3. Step 3: Cross multiply
    19,222x = 26,526.36 × 10,390
  4. Step 4: Simplify right side
    19,222x = 275,608,880.40
  5. Step 5: Solve for x
    x = 275,608,880.40/19,222
  6. Step 6: Final answer
    x = 14,338.20

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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.