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Finding the Fourth Proportional to 2,872.65, 4,302.90 and 1,639.43

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Solution

The fourth proportional to 2,872.65, 4,302.90 and 1,639.43 is: 2,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.65 : 4,302.90 = 1,639.43 : x
  2. Step 2: Convert to fraction form
    2,872.65/4,302.90 = 1,639.43/x
  3. Step 3: Cross multiply
    2,872.65x = 4,302.90 × 1,639.43
  4. Step 4: Simplify right side
    2,872.65x = 7,054,303.35
  5. Step 5: Solve for x
    x = 7,054,303.35/2,872.65
  6. Step 6: Final answer
    x = 2,455.68

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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.