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Finding the Fourth Proportional to 5,660.51, 7,809.36 and 4,172

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Solution

The fourth proportional to 5,660.51, 7,809.36 and 4,172 is: 5,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.51 : 7,809.36 = 4,172 : x
  2. Step 2: Convert to fraction form
    5,660.51/7,809.36 = 4,172/x
  3. Step 3: Cross multiply
    5,660.51x = 7,809.36 × 4,172
  4. Step 4: Simplify right side
    5,660.51x = 32,580,649.92
  5. Step 5: Solve for x
    x = 32,580,649.92/5,660.51
  6. Step 6: Final answer
    x = 5,755.78

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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.