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Finding the Fourth Proportional to 2,937.60, 4,406.37 and 989.79

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Solution

The fourth proportional to 2,937.60, 4,406.37 and 989.79 is: 1,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.60 : 4,406.37 = 989.79 : x
  2. Step 2: Convert to fraction form
    2,937.60/4,406.37 = 989.79/x
  3. Step 3: Cross multiply
    2,937.60x = 4,406.37 × 989.79
  4. Step 4: Simplify right side
    2,937.60x = 4,361,380.96
  5. Step 5: Solve for x
    x = 4,361,380.96/2,937.60
  6. Step 6: Final answer
    x = 1,484.67

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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.