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Finding the Fourth Proportional to 3,159.72, 4,738.86 and 1,773.68

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Solution

The fourth proportional to 3,159.72, 4,738.86 and 1,773.68 is: 2,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.72 : 4,738.86 = 1,773.68 : x
  2. Step 2: Convert to fraction form
    3,159.72/4,738.86 = 1,773.68/x
  3. Step 3: Cross multiply
    3,159.72x = 4,738.86 × 1,773.68
  4. Step 4: Simplify right side
    3,159.72x = 8,405,197.51
  5. Step 5: Solve for x
    x = 8,405,197.51/3,159.72
  6. Step 6: Final answer
    x = 2,660.11

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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.