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Finding the Fourth Proportional to 3,900.42, 5,852.88 and 1,952.64

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Solution

The fourth proportional to 3,900.42, 5,852.88 and 1,952.64 is: 2,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.42 : 5,852.88 = 1,952.64 : x
  2. Step 2: Convert to fraction form
    3,900.42/5,852.88 = 1,952.64/x
  3. Step 3: Cross multiply
    3,900.42x = 5,852.88 × 1,952.64
  4. Step 4: Simplify right side
    3,900.42x = 11,428,567.60
  5. Step 5: Solve for x
    x = 11,428,567.60/3,900.42
  6. Step 6: Final answer
    x = 2,930.09

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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.