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Finding the Fourth Proportional to 3,089.87, 4,264 and 1,763.50

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Solution

The fourth proportional to 3,089.87, 4,264 and 1,763.50 is: 2,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.87 : 4,264 = 1,763.50 : x
  2. Step 2: Convert to fraction form
    3,089.87/4,264 = 1,763.50/x
  3. Step 3: Cross multiply
    3,089.87x = 4,264 × 1,763.50
  4. Step 4: Simplify right side
    3,089.87x = 7,519,564
  5. Step 5: Solve for x
    x = 7,519,564/3,089.87
  6. Step 6: Final answer
    x = 2,433.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.