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Finding the Fourth Proportional to 1,885.70, 2,830.17 and 899.73

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Solution

The fourth proportional to 1,885.70, 2,830.17 and 899.73 is: 1,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.70 : 2,830.17 = 899.73 : x
  2. Step 2: Convert to fraction form
    1,885.70/2,830.17 = 899.73/x
  3. Step 3: Cross multiply
    1,885.70x = 2,830.17 × 899.73
  4. Step 4: Simplify right side
    1,885.70x = 2,546,388.85
  5. Step 5: Solve for x
    x = 2,546,388.85/1,885.70
  6. Step 6: Final answer
    x = 1,350.37

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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.