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Finding the Fourth Proportional to 12,728.68, 17,566.70 and 7,424

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Solution

The fourth proportional to 12,728.68, 17,566.70 and 7,424 is: 10,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.68 : 17,566.70 = 7,424 : x
  2. Step 2: Convert to fraction form
    12,728.68/17,566.70 = 7,424/x
  3. Step 3: Cross multiply
    12,728.68x = 17,566.70 × 7,424
  4. Step 4: Simplify right side
    12,728.68x = 130,415,180.80
  5. Step 5: Solve for x
    x = 130,415,180.80/12,728.68
  6. Step 6: Final answer
    x = 10,245.77

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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.