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Finding the Fourth Proportional to 2,660.38, 3,663.40 and 2,601.38

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Solution

The fourth proportional to 2,660.38, 3,663.40 and 2,601.38 is: 3,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.38 : 3,663.40 = 2,601.38 : x
  2. Step 2: Convert to fraction form
    2,660.38/3,663.40 = 2,601.38/x
  3. Step 3: Cross multiply
    2,660.38x = 3,663.40 × 2,601.38
  4. Step 4: Simplify right side
    2,660.38x = 9,529,864.17
  5. Step 5: Solve for x
    x = 9,529,864.17/2,660.38
  6. Step 6: Final answer
    x = 3,582.14

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1.5x scale

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.