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Finding the Fourth Proportional to 7,852.80, 11,787.84 and 3,956.16

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Solution

The fourth proportional to 7,852.80, 11,787.84 and 3,956.16 is: 5,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.80 : 11,787.84 = 3,956.16 : x
  2. Step 2: Convert to fraction form
    7,852.80/11,787.84 = 3,956.16/x
  3. Step 3: Cross multiply
    7,852.80x = 11,787.84 × 3,956.16
  4. Step 4: Simplify right side
    7,852.80x = 46,634,581.09
  5. Step 5: Solve for x
    x = 46,634,581.09/7,852.80
  6. Step 6: Final answer
    x = 5,938.59

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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.