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Finding the Fourth Proportional to 4,503, 6,754.50 and 1,215.84

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Solution

The fourth proportional to 4,503, 6,754.50 and 1,215.84 is: 1,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503 : 6,754.50 = 1,215.84 : x
  2. Step 2: Convert to fraction form
    4,503/6,754.50 = 1,215.84/x
  3. Step 3: Cross multiply
    4,503x = 6,754.50 × 1,215.84
  4. Step 4: Simplify right side
    4,503x = 8,212,391.28
  5. Step 5: Solve for x
    x = 8,212,391.28/4,503
  6. Step 6: Final answer
    x = 1,823.76

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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.