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Finding the Fourth Proportional to 4,898.90, 7,346.78 and 1,611.21

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Solution

The fourth proportional to 4,898.90, 7,346.78 and 1,611.21 is: 2,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.90 : 7,346.78 = 1,611.21 : x
  2. Step 2: Convert to fraction form
    4,898.90/7,346.78 = 1,611.21/x
  3. Step 3: Cross multiply
    4,898.90x = 7,346.78 × 1,611.21
  4. Step 4: Simplify right side
    4,898.90x = 11,837,197.35
  5. Step 5: Solve for x
    x = 11,837,197.35/4,898.90
  6. Step 6: Final answer
    x = 2,416.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.