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Finding the Fourth Proportional to 3,885.82, 5,829.59 and 1,420.64

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Solution

The fourth proportional to 3,885.82, 5,829.59 and 1,420.64 is: 2,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.82 : 5,829.59 = 1,420.64 : x
  2. Step 2: Convert to fraction form
    3,885.82/5,829.59 = 1,420.64/x
  3. Step 3: Cross multiply
    3,885.82x = 5,829.59 × 1,420.64
  4. Step 4: Simplify right side
    3,885.82x = 8,281,712.49
  5. Step 5: Solve for x
    x = 8,281,712.49/3,885.82
  6. Step 6: Final answer
    x = 2,131.27

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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.