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Finding the Fourth Proportional to 2,660.73, 3,670.82 and 2,656.63

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Solution

The fourth proportional to 2,660.73, 3,670.82 and 2,656.63 is: 3,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.73 : 3,670.82 = 2,656.63 : x
  2. Step 2: Convert to fraction form
    2,660.73/3,670.82 = 2,656.63/x
  3. Step 3: Cross multiply
    2,660.73x = 3,670.82 × 2,656.63
  4. Step 4: Simplify right side
    2,660.73x = 9,751,988.08
  5. Step 5: Solve for x
    x = 9,751,988.08/2,660.73
  6. Step 6: Final answer
    x = 3,665.16

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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.