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Finding the Fourth Proportional to 2,658.76, 3,670.22 and 1,663.83

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Solution

The fourth proportional to 2,658.76, 3,670.22 and 1,663.83 is: 2,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.76 : 3,670.22 = 1,663.83 : x
  2. Step 2: Convert to fraction form
    2,658.76/3,670.22 = 1,663.83/x
  3. Step 3: Cross multiply
    2,658.76x = 3,670.22 × 1,663.83
  4. Step 4: Simplify right side
    2,658.76x = 6,106,622.14
  5. Step 5: Solve for x
    x = 6,106,622.14/2,658.76
  6. Step 6: Final answer
    x = 2,296.79

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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.