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Finding the Fourth Proportional to 2,099.66, 3,147.96 and 989.15

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Solution

The fourth proportional to 2,099.66, 3,147.96 and 989.15 is: 1,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.66 : 3,147.96 = 989.15 : x
  2. Step 2: Convert to fraction form
    2,099.66/3,147.96 = 989.15/x
  3. Step 3: Cross multiply
    2,099.66x = 3,147.96 × 989.15
  4. Step 4: Simplify right side
    2,099.66x = 3,113,792.60
  5. Step 5: Solve for x
    x = 3,113,792.60/2,099.66
  6. Step 6: Final answer
    x = 1,483.00

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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.