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Finding the Fourth Proportional to 12,469, 17,209.45 and 7,433.55

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Solution

The fourth proportional to 12,469, 17,209.45 and 7,433.55 is: 10,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469 : 17,209.45 = 7,433.55 : x
  2. Step 2: Convert to fraction form
    12,469/17,209.45 = 7,433.55/x
  3. Step 3: Cross multiply
    12,469x = 17,209.45 × 7,433.55
  4. Step 4: Simplify right side
    12,469x = 127,927,269.88
  5. Step 5: Solve for x
    x = 127,927,269.88/12,469
  6. Step 6: Final answer
    x = 10,259.63

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1.5x scale

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.