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Finding the Fourth Proportional to 3,883.55, 5,827.95 and 1,419.12

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Solution

The fourth proportional to 3,883.55, 5,827.95 and 1,419.12 is: 2,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.55 : 5,827.95 = 1,419.12 : x
  2. Step 2: Convert to fraction form
    3,883.55/5,827.95 = 1,419.12/x
  3. Step 3: Cross multiply
    3,883.55x = 5,827.95 × 1,419.12
  4. Step 4: Simplify right side
    3,883.55x = 8,270,560.40
  5. Step 5: Solve for x
    x = 8,270,560.40/3,883.55
  6. Step 6: Final answer
    x = 2,129.64

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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.