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Finding the Fourth Proportional to 12,406.71, 17,121.54 and 7,629.21

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Solution

The fourth proportional to 12,406.71, 17,121.54 and 7,629.21 is: 10,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.71 : 17,121.54 = 7,629.21 : x
  2. Step 2: Convert to fraction form
    12,406.71/17,121.54 = 7,629.21/x
  3. Step 3: Cross multiply
    12,406.71x = 17,121.54 × 7,629.21
  4. Step 4: Simplify right side
    12,406.71x = 130,623,824.18
  5. Step 5: Solve for x
    x = 130,623,824.18/12,406.71
  6. Step 6: Final answer
    x = 10,528.48

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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.