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Finding the Fourth Proportional to 2,601.22, 3,901.54 and 653.43

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Solution

The fourth proportional to 2,601.22, 3,901.54 and 653.43 is: 980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.22 : 3,901.54 = 653.43 : x
  2. Step 2: Convert to fraction form
    2,601.22/3,901.54 = 653.43/x
  3. Step 3: Cross multiply
    2,601.22x = 3,901.54 × 653.43
  4. Step 4: Simplify right side
    2,601.22x = 2,549,383.28
  5. Step 5: Solve for x
    x = 2,549,383.28/2,601.22
  6. Step 6: Final answer
    x = 980.07

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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.