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Finding the Fourth Proportional to 3,169, 4,373.22 and 1,771.78

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Solution

The fourth proportional to 3,169, 4,373.22 and 1,771.78 is: 2,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169 : 4,373.22 = 1,771.78 : x
  2. Step 2: Convert to fraction form
    3,169/4,373.22 = 1,771.78/x
  3. Step 3: Cross multiply
    3,169x = 4,373.22 × 1,771.78
  4. Step 4: Simplify right side
    3,169x = 7,748,383.73
  5. Step 5: Solve for x
    x = 7,748,383.73/3,169
  6. Step 6: Final answer
    x = 2,445.06

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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.