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Finding the Fourth Proportional to 3,885.84, 5,830.34 and 1,420.88

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Solution

The fourth proportional to 3,885.84, 5,830.34 and 1,420.88 is: 2,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.84 : 5,830.34 = 1,420.88 : x
  2. Step 2: Convert to fraction form
    3,885.84/5,830.34 = 1,420.88/x
  3. Step 3: Cross multiply
    3,885.84x = 5,830.34 × 1,420.88
  4. Step 4: Simplify right side
    3,885.84x = 8,284,177.24
  5. Step 5: Solve for x
    x = 8,284,177.24/3,885.84
  6. Step 6: Final answer
    x = 2,131.89

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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.