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Finding the Fourth Proportional to 12,469.43, 17,208.16 and 7,434.07

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Solution

The fourth proportional to 12,469.43, 17,208.16 and 7,434.07 is: 10,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.43 : 17,208.16 = 7,434.07 : x
  2. Step 2: Convert to fraction form
    12,469.43/17,208.16 = 7,434.07/x
  3. Step 3: Cross multiply
    12,469.43x = 17,208.16 × 7,434.07
  4. Step 4: Simplify right side
    12,469.43x = 127,926,604.41
  5. Step 5: Solve for x
    x = 127,926,604.41/12,469.43
  6. Step 6: Final answer
    x = 10,259.22

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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.