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Finding the Fourth Proportional to 5,977.12, 8,956.08 and 3,780.64

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Solution

The fourth proportional to 5,977.12, 8,956.08 and 3,780.64 is: 5,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.12 : 8,956.08 = 3,780.64 : x
  2. Step 2: Convert to fraction form
    5,977.12/8,956.08 = 3,780.64/x
  3. Step 3: Cross multiply
    5,977.12x = 8,956.08 × 3,780.64
  4. Step 4: Simplify right side
    5,977.12x = 33,859,714.29
  5. Step 5: Solve for x
    x = 33,859,714.29/5,977.12
  6. Step 6: Final answer
    x = 5,664.89

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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.