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Finding the Fourth Proportional to 1,765.80, 2,425.86 and 1,581.66

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Solution

The fourth proportional to 1,765.80, 2,425.86 and 1,581.66 is: 2,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.80 : 2,425.86 = 1,581.66 : x
  2. Step 2: Convert to fraction form
    1,765.80/2,425.86 = 1,581.66/x
  3. Step 3: Cross multiply
    1,765.80x = 2,425.86 × 1,581.66
  4. Step 4: Simplify right side
    1,765.80x = 3,836,885.73
  5. Step 5: Solve for x
    x = 3,836,885.73/1,765.80
  6. Step 6: Final answer
    x = 2,172.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.