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Finding the Fourth Proportional to 7,674.76, 11,512.14 and 5,077.09

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Solution

The fourth proportional to 7,674.76, 11,512.14 and 5,077.09 is: 7,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.76 : 11,512.14 = 5,077.09 : x
  2. Step 2: Convert to fraction form
    7,674.76/11,512.14 = 5,077.09/x
  3. Step 3: Cross multiply
    7,674.76x = 11,512.14 × 5,077.09
  4. Step 4: Simplify right side
    7,674.76x = 58,448,170.87
  5. Step 5: Solve for x
    x = 58,448,170.87/7,674.76
  6. Step 6: Final answer
    x = 7,615.64

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.