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Finding the Fourth Proportional to 4,660.57, 6,990.86 and 3,837.12

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Solution

The fourth proportional to 4,660.57, 6,990.86 and 3,837.12 is: 5,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.57 : 6,990.86 = 3,837.12 : x
  2. Step 2: Convert to fraction form
    4,660.57/6,990.86 = 3,837.12/x
  3. Step 3: Cross multiply
    4,660.57x = 6,990.86 × 3,837.12
  4. Step 4: Simplify right side
    4,660.57x = 26,824,741.31
  5. Step 5: Solve for x
    x = 26,824,741.31/4,660.57
  6. Step 6: Final answer
    x = 5,755.67

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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.