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Finding the Fourth Proportional to 3,902.88, 5,852.16 and 1,305.12

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Solution

The fourth proportional to 3,902.88, 5,852.16 and 1,305.12 is: 1,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.88 : 5,852.16 = 1,305.12 : x
  2. Step 2: Convert to fraction form
    3,902.88/5,852.16 = 1,305.12/x
  3. Step 3: Cross multiply
    3,902.88x = 5,852.16 × 1,305.12
  4. Step 4: Simplify right side
    3,902.88x = 7,637,771.06
  5. Step 5: Solve for x
    x = 7,637,771.06/3,902.88
  6. Step 6: Final answer
    x = 1,956.96

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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.