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Finding the Fourth Proportional to 12,409.74, 17,125.61 and 6,744.60

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Solution

The fourth proportional to 12,409.74, 17,125.61 and 6,744.60 is: 9,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.74 : 17,125.61 = 6,744.60 : x
  2. Step 2: Convert to fraction form
    12,409.74/17,125.61 = 6,744.60/x
  3. Step 3: Cross multiply
    12,409.74x = 17,125.61 × 6,744.60
  4. Step 4: Simplify right side
    12,409.74x = 115,505,269.85
  5. Step 5: Solve for x
    x = 115,505,269.85/12,409.74
  6. Step 6: Final answer
    x = 9,307.63

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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.