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Finding the Fourth Proportional to 2,001.85, 3,000.95 and 890.68

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Solution

The fourth proportional to 2,001.85, 3,000.95 and 890.68 is: 1,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.85 : 3,000.95 = 890.68 : x
  2. Step 2: Convert to fraction form
    2,001.85/3,000.95 = 890.68/x
  3. Step 3: Cross multiply
    2,001.85x = 3,000.95 × 890.68
  4. Step 4: Simplify right side
    2,001.85x = 2,672,886.15
  5. Step 5: Solve for x
    x = 2,672,886.15/2,001.85
  6. Step 6: Final answer
    x = 1,335.21

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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.