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Finding the Fourth Proportional to 2,487.50, 3,730.97 and 638.65

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Solution

The fourth proportional to 2,487.50, 3,730.97 and 638.65 is: 957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.50 : 3,730.97 = 638.65 : x
  2. Step 2: Convert to fraction form
    2,487.50/3,730.97 = 638.65/x
  3. Step 3: Cross multiply
    2,487.50x = 3,730.97 × 638.65
  4. Step 4: Simplify right side
    2,487.50x = 2,382,783.99
  5. Step 5: Solve for x
    x = 2,382,783.99/2,487.50
  6. Step 6: Final answer
    x = 957.90

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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.