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Finding the Fourth Proportional to 12,728.88, 17,568 and 7,424.28

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Solution

The fourth proportional to 12,728.88, 17,568 and 7,424.28 is: 10,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.88 : 17,568 = 7,424.28 : x
  2. Step 2: Convert to fraction form
    12,728.88/17,568 = 7,424.28/x
  3. Step 3: Cross multiply
    12,728.88x = 17,568 × 7,424.28
  4. Step 4: Simplify right side
    12,728.88x = 130,429,751.04
  5. Step 5: Solve for x
    x = 130,429,751.04/12,728.88
  6. Step 6: Final answer
    x = 10,246.76

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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.