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Finding the Fourth Proportional to 3,305.65, 4,956.84 and 1,637.83

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Solution

The fourth proportional to 3,305.65, 4,956.84 and 1,637.83 is: 2,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.65 : 4,956.84 = 1,637.83 : x
  2. Step 2: Convert to fraction form
    3,305.65/4,956.84 = 1,637.83/x
  3. Step 3: Cross multiply
    3,305.65x = 4,956.84 × 1,637.83
  4. Step 4: Simplify right side
    3,305.65x = 8,118,461.26
  5. Step 5: Solve for x
    x = 8,118,461.26/3,305.65
  6. Step 6: Final answer
    x = 2,455.93

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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.