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Finding the Fourth Proportional to 2,537.58, 3,806.45 and 688.69

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Solution

The fourth proportional to 2,537.58, 3,806.45 and 688.69 is: 1,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.58 : 3,806.45 = 688.69 : x
  2. Step 2: Convert to fraction form
    2,537.58/3,806.45 = 688.69/x
  3. Step 3: Cross multiply
    2,537.58x = 3,806.45 × 688.69
  4. Step 4: Simplify right side
    2,537.58x = 2,621,441.57
  5. Step 5: Solve for x
    x = 2,621,441.57/2,537.58
  6. Step 6: Final answer
    x = 1,033.05

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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.