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Finding the Fourth Proportional to 2,660.69, 3,670.76 and 2,656.59

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Solution

The fourth proportional to 2,660.69, 3,670.76 and 2,656.59 is: 3,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.69 : 3,670.76 = 2,656.59 : x
  2. Step 2: Convert to fraction form
    2,660.69/3,670.76 = 2,656.59/x
  3. Step 3: Cross multiply
    2,660.69x = 3,670.76 × 2,656.59
  4. Step 4: Simplify right side
    2,660.69x = 9,751,691.03
  5. Step 5: Solve for x
    x = 9,751,691.03/2,660.69
  6. Step 6: Final answer
    x = 3,665.11

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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.