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Finding the Fourth Proportional to 4,900.87, 7,350.49 and 1,614

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Solution

The fourth proportional to 4,900.87, 7,350.49 and 1,614 is: 2,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.87 : 7,350.49 = 1,614 : x
  2. Step 2: Convert to fraction form
    4,900.87/7,350.49 = 1,614/x
  3. Step 3: Cross multiply
    4,900.87x = 7,350.49 × 1,614
  4. Step 4: Simplify right side
    4,900.87x = 11,863,690.86
  5. Step 5: Solve for x
    x = 11,863,690.86/4,900.87
  6. Step 6: Final answer
    x = 2,420.73

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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.