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Finding the Fourth Proportional to 2,001.60, 3,002.66 and 685.62

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Solution

The fourth proportional to 2,001.60, 3,002.66 and 685.62 is: 1,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.60 : 3,002.66 = 685.62 : x
  2. Step 2: Convert to fraction form
    2,001.60/3,002.66 = 685.62/x
  3. Step 3: Cross multiply
    2,001.60x = 3,002.66 × 685.62
  4. Step 4: Simplify right side
    2,001.60x = 2,058,680.32
  5. Step 5: Solve for x
    x = 2,058,680.32/2,001.60
  6. Step 6: Final answer
    x = 1,028.52

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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.