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Finding the Fourth Proportional to 3,872.08, 5,808.12 and 950.40

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Solution

The fourth proportional to 3,872.08, 5,808.12 and 950.40 is: 1,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.08 : 5,808.12 = 950.40 : x
  2. Step 2: Convert to fraction form
    3,872.08/5,808.12 = 950.40/x
  3. Step 3: Cross multiply
    3,872.08x = 5,808.12 × 950.40
  4. Step 4: Simplify right side
    3,872.08x = 5,520,037.25
  5. Step 5: Solve for x
    x = 5,520,037.25/3,872.08
  6. Step 6: Final answer
    x = 1,425.60

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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.