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Finding the Fourth Proportional to 12,039.76, 16,615.56 and 6,734.80

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Solution

The fourth proportional to 12,039.76, 16,615.56 and 6,734.80 is: 9,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039.76 : 16,615.56 = 6,734.80 : x
  2. Step 2: Convert to fraction form
    12,039.76/16,615.56 = 6,734.80/x
  3. Step 3: Cross multiply
    12,039.76x = 16,615.56 × 6,734.80
  4. Step 4: Simplify right side
    12,039.76x = 111,902,473.49
  5. Step 5: Solve for x
    x = 111,902,473.49/12,039.76
  6. Step 6: Final answer
    x = 9,294.41

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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.