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Finding the Fourth Proportional to 2,001.61, 3,002.66 and 685.61

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Solution

The fourth proportional to 2,001.61, 3,002.66 and 685.61 is: 1,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.61 : 3,002.66 = 685.61 : x
  2. Step 2: Convert to fraction form
    2,001.61/3,002.66 = 685.61/x
  3. Step 3: Cross multiply
    2,001.61x = 3,002.66 × 685.61
  4. Step 4: Simplify right side
    2,001.61x = 2,058,662.94
  5. Step 5: Solve for x
    x = 2,058,662.94/2,001.61
  6. Step 6: Final answer
    x = 1,028.50

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1.5x scale

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.