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Finding the Fourth Proportional to 5,250.98, 7,868.90 and 3,029.72

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Solution

The fourth proportional to 5,250.98, 7,868.90 and 3,029.72 is: 4,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.98 : 7,868.90 = 3,029.72 : x
  2. Step 2: Convert to fraction form
    5,250.98/7,868.90 = 3,029.72/x
  3. Step 3: Cross multiply
    5,250.98x = 7,868.90 × 3,029.72
  4. Step 4: Simplify right side
    5,250.98x = 23,840,563.71
  5. Step 5: Solve for x
    x = 23,840,563.71/5,250.98
  6. Step 6: Final answer
    x = 4,540.21

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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.