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Finding the Fourth Proportional to 17,209.31, 25,821.86 and 10,203.21

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Solution

The fourth proportional to 17,209.31, 25,821.86 and 10,203.21 is: 15,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.31 : 25,821.86 = 10,203.21 : x
  2. Step 2: Convert to fraction form
    17,209.31/25,821.86 = 10,203.21/x
  3. Step 3: Cross multiply
    17,209.31x = 25,821.86 × 10,203.21
  4. Step 4: Simplify right side
    17,209.31x = 263,465,809.15
  5. Step 5: Solve for x
    x = 263,465,809.15/17,209.31
  6. Step 6: Final answer
    x = 15,309.50

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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.