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Finding the Fourth Proportional to 4,660, 6,980.62 and 2,157.68

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Solution

The fourth proportional to 4,660, 6,980.62 and 2,157.68 is: 3,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660 : 6,980.62 = 2,157.68 : x
  2. Step 2: Convert to fraction form
    4,660/6,980.62 = 2,157.68/x
  3. Step 3: Cross multiply
    4,660x = 6,980.62 × 2,157.68
  4. Step 4: Simplify right side
    4,660x = 15,061,944.16
  5. Step 5: Solve for x
    x = 15,061,944.16/4,660
  6. Step 6: Final answer
    x = 3,232.18

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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.