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Finding the Fourth Proportional to 7,474.77, 11,212.16 and 6,512.49

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Solution

The fourth proportional to 7,474.77, 11,212.16 and 6,512.49 is: 9,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.77 : 11,212.16 = 6,512.49 : x
  2. Step 2: Convert to fraction form
    7,474.77/11,212.16 = 6,512.49/x
  3. Step 3: Cross multiply
    7,474.77x = 11,212.16 × 6,512.49
  4. Step 4: Simplify right side
    7,474.77x = 73,019,047.32
  5. Step 5: Solve for x
    x = 73,019,047.32/7,474.77
  6. Step 6: Final answer
    x = 9,768.74

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Half scale
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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.